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Finding the Fourth Proportional to 497,691.56, 686,899.50 and 344,951.48

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Solution

The fourth proportional to 497,691.56, 686,899.50 and 344,951.48 is: 476,092.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,691.56 : 686,899.50 = 344,951.48 : x
  2. Step 2: Convert to fraction form
    497,691.56/686,899.50 = 344,951.48/x
  3. Step 3: Cross multiply
    497,691.56x = 686,899.50 × 344,951.48
  4. Step 4: Simplify right side
    497,691.56x = 236,946,999,136.26
  5. Step 5: Solve for x
    x = 236,946,999,136.26/497,691.56
  6. Step 6: Final answer
    x = 476,092.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.