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Finding the Fourth Proportional to 406,348.96, 609,563.50 and 140,074.42

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Solution

The fourth proportional to 406,348.96, 609,563.50 and 140,074.42 is: 210,125.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,348.96 : 609,563.50 = 140,074.42 : x
  2. Step 2: Convert to fraction form
    406,348.96/609,563.50 = 140,074.42/x
  3. Step 3: Cross multiply
    406,348.96x = 609,563.50 × 140,074.42
  4. Step 4: Simplify right side
    406,348.96x = 85,384,253,715.67
  5. Step 5: Solve for x
    x = 85,384,253,715.67/406,348.96
  6. Step 6: Final answer
    x = 210,125.44

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