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Finding the Fourth Proportional to 410,224.70, 615,337.05 and 291,251.90

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Solution

The fourth proportional to 410,224.70, 615,337.05 and 291,251.90 is: 436,877.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,224.70 : 615,337.05 = 291,251.90 : x
  2. Step 2: Convert to fraction form
    410,224.70/615,337.05 = 291,251.90/x
  3. Step 3: Cross multiply
    410,224.70x = 615,337.05 × 291,251.90
  4. Step 4: Simplify right side
    410,224.70x = 179,218,084,952.90
  5. Step 5: Solve for x
    x = 179,218,084,952.90/410,224.70
  6. Step 6: Final answer
    x = 436,877.85

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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.