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Finding the Fourth Proportional to 413,818.60, 619,691.10 and 272,813.80

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Solution

The fourth proportional to 413,818.60, 619,691.10 and 272,813.80 is: 408,537.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,818.60 : 619,691.10 = 272,813.80 : x
  2. Step 2: Convert to fraction form
    413,818.60/619,691.10 = 272,813.80/x
  3. Step 3: Cross multiply
    413,818.60x = 619,691.10 × 272,813.80
  4. Step 4: Simplify right side
    413,818.60x = 169,060,283,817.18
  5. Step 5: Solve for x
    x = 169,060,283,817.18/413,818.60
  6. Step 6: Final answer
    x = 408,537.18

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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.