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Finding the Fourth Proportional to 406,954.70, 610,432.05 and 361,853.90

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Solution

The fourth proportional to 406,954.70, 610,432.05 and 361,853.90 is: 542,780.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,954.70 : 610,432.05 = 361,853.90 : x
  2. Step 2: Convert to fraction form
    406,954.70/610,432.05 = 361,853.90/x
  3. Step 3: Cross multiply
    406,954.70x = 610,432.05 × 361,853.90
  4. Step 4: Simplify right side
    406,954.70x = 220,887,217,977.50
  5. Step 5: Solve for x
    x = 220,887,217,977.50/406,954.70
  6. Step 6: Final answer
    x = 542,780.85

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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.