When you introduce rats, do it on neutral ground. Existing rats will vigorously defend their territory if you put a new rat straight into their cage or find it where they are used to playing. A bathtub might be a good place. Reducing or masking scent will help make things easier. Put a small drop of a smelly (but harmless) substance such as vanilla essence on each rat. Actually bathing the rats can be a good way to reduce scent and an opportunity for the new rat to be introduced as you bath all the rats one by one, unless your rats hate having a bath.
During the initial introduction you should physically supervise the rats. If things go well you can leave them together on the neutral territory for up to a few hours (providing food, water and somewhere comfortable to sleep. You may need to repeat this step a few times, or keep the sessions shorter if introductions are more fraught. Once you are confident that the rats will accept each other on neutral ground it is time to get them together in their permanent home. Prepare the cage by thoroughly washing it and all the accessories etc to remove the scent of the existing rats. Make sure you put in new bedding, food and water. Changing the contents round can also help. The idea is to reduce the cues that trigger the existing rats to defend their territory. If the rats do not get on in the cage then go back to the neutral ground stage and repeat as necessary. Sadly a few rats will not accept newcomers, so in a small number of cases no amount of work will produce an integrated colony. In these cases you will either have to have two colonies or see if the new rat can be rehoused.