Broad is a synonym of Thick. Thick is a synonym of Stupid. Stupid is a synonym of Dumb. 
Improvement is related to Home. Home is related to Local. Local is related to Nearby. 
Broad <--Synonym--> Thick <--Synonym--> Stupid <--Synonym--> Dumb 
Improvement <--RelatedTo--> Home <--RelatedTo--> Local <--RelatedTo--> Nearby 