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Finding the Fourth Proportional to 457,715.17, 686,092.14 and 154,003.89

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Solution

The fourth proportional to 457,715.17, 686,092.14 and 154,003.89 is: 230,844.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,715.17 : 686,092.14 = 154,003.89 : x
  2. Step 2: Convert to fraction form
    457,715.17/686,092.14 = 154,003.89/x
  3. Step 3: Cross multiply
    457,715.17x = 686,092.14 × 154,003.89
  4. Step 4: Simplify right side
    457,715.17x = 105,660,858,458.43
  5. Step 5: Solve for x
    x = 105,660,858,458.43/457,715.17
  6. Step 6: Final answer
    x = 230,844.13

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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.