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Finding the Fourth Proportional to 409,644.28, 614,044.20 and 156,855.70

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Solution

The fourth proportional to 409,644.28, 614,044.20 and 156,855.70 is: 235,121.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,644.28 : 614,044.20 = 156,855.70 : x
  2. Step 2: Convert to fraction form
    409,644.28/614,044.20 = 156,855.70/x
  3. Step 3: Cross multiply
    409,644.28x = 614,044.20 × 156,855.70
  4. Step 4: Simplify right side
    409,644.28x = 96,316,332,821.94
  5. Step 5: Solve for x
    x = 96,316,332,821.94/409,644.28
  6. Step 6: Final answer
    x = 235,121.88

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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.