I'm looking for some active speakers that have a 4.4mm balanced input.
I'm afraid you are one of the many confused by the meaning of balanced in the pro-world and balanced in the headphone world.
In the pro-world balanced means a 3 wire connection per channel. You have a hot, a cold(the inverse of the hot) and a ground. The box receiving this signal has a differential amp, it compares the hot and the cold and all differences are rejected (common noise rejection)
A 4.4 is a Pentaconn jack and this is a TRRRS. In other words, L+/L-,R+/R- and a ground. This is 2x 2 wires so single ended. Nothing balanced about this connector.
True active speakers by the number but most of them do have a balanced input indeed.
Powered speakers are simply a box with a stereo amp parked in the back. Saves you the expense of a aluminium enclosure for the amp but the speakers are passive (if the connection to the slave is a plain 2 wires speaker connection , you know for sure it is passive).