This is the 17971st most frequent Russian word.
федеральному
"Federal" (relating to a federation or central government).
The word 'федеральному' here is in the dative case singular, agreeing with the masculine noun 'министру', to describe an official's jurisdiction level.
Я написал письмо федеральному министру.
I wrote a letter to the federal minister.
Here, 'федеральному' modifies 'бюджету', which is in the dative case singular masculine, indicating the federal government as the owner of the funds.
Эти средства принадлежат федеральному бюджету.
These funds belong to the federal budget.
'Федеральному' describes 'закону' in this sentence, with the dative case singular masculine form used to specify trust towards regulations at the federal level.