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Finding the Fourth Proportional to 457,365.38, 686,676.47 and 232,876.64

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Solution

The fourth proportional to 457,365.38, 686,676.47 and 232,876.64 is: 349,634.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,365.38 : 686,676.47 = 232,876.64 : x
  2. Step 2: Convert to fraction form
    457,365.38/686,676.47 = 232,876.64/x
  3. Step 3: Cross multiply
    457,365.38x = 686,676.47 × 232,876.64
  4. Step 4: Simplify right side
    457,365.38x = 159,910,904,502.90
  5. Step 5: Solve for x
    x = 159,910,904,502.90/457,365.38
  6. Step 6: Final answer
    x = 349,634.92

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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.