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Finding the Fourth Proportional to 457,363.31, 686,153.96 and 157,846.47

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Solution

The fourth proportional to 457,363.31, 686,153.96 and 157,846.47 is: 236,807.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,363.31 : 686,153.96 = 157,846.47 : x
  2. Step 2: Convert to fraction form
    457,363.31/686,153.96 = 157,846.47/x
  3. Step 3: Cross multiply
    457,363.31x = 686,153.96 × 157,846.47
  4. Step 4: Simplify right side
    457,363.31x = 108,306,980,067.91
  5. Step 5: Solve for x
    x = 108,306,980,067.91/457,363.31
  6. Step 6: Final answer
    x = 236,807.32

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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.