Final answer:
The proteins synthesized in the ER pass through ribosomes, the ER lumen, and the Golgi apparatus before reaching their final destinations.
Step-by-step explanation:
The order of passing from the ER (endoplasmic reticulum) out to the rest of the cell involves several structures. First, ribosomes transfer newly synthesized proteins into the rough ER's lumen. These proteins are then modified and incorporated into cellular membranes. Finally, transport vesicles bud off from the rough ER and fuse with the Golgi apparatus, where further processing occurs before the proteins are sorted and transported to their final destinations.