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Finding the Fourth Proportional to 686,251.17, 946,799.64 and 414,215.73

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Solution

The fourth proportional to 686,251.17, 946,799.64 and 414,215.73 is: 571,480.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,251.17 : 946,799.64 = 414,215.73 : x
  2. Step 2: Convert to fraction form
    686,251.17/946,799.64 = 414,215.73/x
  3. Step 3: Cross multiply
    686,251.17x = 946,799.64 × 414,215.73
  4. Step 4: Simplify right side
    686,251.17x = 392,179,304,046.34
  5. Step 5: Solve for x
    x = 392,179,304,046.34/686,251.17
  6. Step 6: Final answer
    x = 571,480.71

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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.