You are correct! The Roman monarchy ends in 509 BCE. The Temple to Capitoline Jupiter is dedicated in 509 BCE. The Cloaca Maxima is begun in 509 BCE.
For more information on each of these events or the people involved, see the Global Glossary entries for:
Cloaca Maxima monarchy Temple of Capitoline Jupiter
You are correct! The Roman monarchy ends in 509 BCE. The Temple to Capitoline Jupiter is dedicated in 509 BCE. The Cloaca Maxima is begun in 509 BCE.