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Finding the Fourth Proportional to 406,914.30, 609,205.05 and 395,250.30

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Solution

The fourth proportional to 406,914.30, 609,205.05 and 395,250.30 is: 591,742.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,914.30 : 609,205.05 = 395,250.30 : x
  2. Step 2: Convert to fraction form
    406,914.30/609,205.05 = 395,250.30/x
  3. Step 3: Cross multiply
    406,914.30x = 609,205.05 × 395,250.30
  4. Step 4: Simplify right side
    406,914.30x = 240,788,478,774.02
  5. Step 5: Solve for x
    x = 240,788,478,774.02/406,914.30
  6. Step 6: Final answer
    x = 591,742.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.