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Finding the Fourth Proportional to 502,654.14, 693,552.65 and 298,772.82

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Solution

The fourth proportional to 502,654.14, 693,552.65 and 298,772.82 is: 412,241.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,654.14 : 693,552.65 = 298,772.82 : x
  2. Step 2: Convert to fraction form
    502,654.14/693,552.65 = 298,772.82/x
  3. Step 3: Cross multiply
    502,654.14x = 693,552.65 × 298,772.82
  4. Step 4: Simplify right side
    502,654.14x = 207,214,679,565.11
  5. Step 5: Solve for x
    x = 207,214,679,565.11/502,654.14
  6. Step 6: Final answer
    x = 412,241.07

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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.