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Finding the Fourth Proportional to 408,952.38, 613,333.17 and 156,140.04

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Solution

The fourth proportional to 408,952.38, 613,333.17 and 156,140.04 is: 234,173.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,952.38 : 613,333.17 = 156,140.04 : x
  2. Step 2: Convert to fraction form
    408,952.38/613,333.17 = 156,140.04/x
  3. Step 3: Cross multiply
    408,952.38x = 613,333.17 × 156,140.04
  4. Step 4: Simplify right side
    408,952.38x = 95,765,865,697.13
  5. Step 5: Solve for x
    x = 95,765,865,697.13/408,952.38
  6. Step 6: Final answer
    x = 234,173.64

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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.