[Rails] Is it possible to manage four models in a form?

The models are:

Company
has_many :categorizations
has_many :categories, :through => :categorizations

Category
has_many :categorizations
has_many :companies, :through => :categorizations

Classification
has_many :categorizations

Categorization
belongs_to :company
belongs_to :category
belongs_to :classification

I would create a new company, assign a category and assign a
classification to the company.category all with one form.
Is it possible?
I think the only way is to create a new company and assign a category
with one form, then in the company controller or company model assign
a classification at company.category, the classification.id may be
passed as a parameter with the form.
What do you think about?

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