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Finding the Fourth Proportional to 502,171.68, 693,117.60 and 287,436.24

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Solution

The fourth proportional to 502,171.68, 693,117.60 and 287,436.24 is: 396,731.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,171.68 : 693,117.60 = 287,436.24 : x
  2. Step 2: Convert to fraction form
    502,171.68/693,117.60 = 287,436.24/x
  3. Step 3: Cross multiply
    502,171.68x = 693,117.60 × 287,436.24
  4. Step 4: Simplify right side
    502,171.68x = 199,227,116,821.82
  5. Step 5: Solve for x
    x = 199,227,116,821.82/502,171.68
  6. Step 6: Final answer
    x = 396,731.09

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