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Finding the Fourth Proportional to 406,358.50, 609,489.22 and 106,862.41

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Solution

The fourth proportional to 406,358.50, 609,489.22 and 106,862.41 is: 160,280.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,358.50 : 609,489.22 = 106,862.41 : x
  2. Step 2: Convert to fraction form
    406,358.50/609,489.22 = 106,862.41/x
  3. Step 3: Cross multiply
    406,358.50x = 609,489.22 × 106,862.41
  4. Step 4: Simplify right side
    406,358.50x = 65,131,486,918.22
  5. Step 5: Solve for x
    x = 65,131,486,918.22/406,358.50
  6. Step 6: Final answer
    x = 160,280.85

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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.