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Finding the Fourth Proportional to 457,896.52, 686,837.48 and 125,472.52

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Solution

The fourth proportional to 457,896.52, 686,837.48 and 125,472.52 is: 188,206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,896.52 : 686,837.48 = 125,472.52 : x
  2. Step 2: Convert to fraction form
    457,896.52/686,837.48 = 125,472.52/x
  3. Step 3: Cross multiply
    457,896.52x = 686,837.48 × 125,472.52
  4. Step 4: Simplify right side
    457,896.52x = 86,179,229,446.05
  5. Step 5: Solve for x
    x = 86,179,229,446.05/457,896.52
  6. Step 6: Final answer
    x = 188,206.78

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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.