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Finding the Fourth Proportional to 406,378.38, 609,469.56 and 169,592.70

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Solution

The fourth proportional to 406,378.38, 609,469.56 and 169,592.70 is: 254,348.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,378.38 : 609,469.56 = 169,592.70 : x
  2. Step 2: Convert to fraction form
    406,378.38/609,469.56 = 169,592.70/x
  3. Step 3: Cross multiply
    406,378.38x = 609,469.56 × 169,592.70
  4. Step 4: Simplify right side
    406,378.38x = 103,361,588,248.21
  5. Step 5: Solve for x
    x = 103,361,588,248.21/406,378.38
  6. Step 6: Final answer
    x = 254,348.15

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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.