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Finding the Fourth Proportional to 458,494.20, 686,429.10 and 406,006.20

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Solution

The fourth proportional to 458,494.20, 686,429.10 and 406,006.20 is: 607,847.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,494.20 : 686,429.10 = 406,006.20 : x
  2. Step 2: Convert to fraction form
    458,494.20/686,429.10 = 406,006.20/x
  3. Step 3: Cross multiply
    458,494.20x = 686,429.10 × 406,006.20
  4. Step 4: Simplify right side
    458,494.20x = 278,694,470,460.42
  5. Step 5: Solve for x
    x = 278,694,470,460.42/458,494.20
  6. Step 6: Final answer
    x = 607,847.32

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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.