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Finding the Fourth Proportional to 457,553.94, 686,162.42 and 157,957.62

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Solution

The fourth proportional to 457,553.94, 686,162.42 and 157,957.62 is: 236,878.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,553.94 : 686,162.42 = 157,957.62 : x
  2. Step 2: Convert to fraction form
    457,553.94/686,162.42 = 157,957.62/x
  3. Step 3: Cross multiply
    457,553.94x = 686,162.42 × 157,957.62
  4. Step 4: Simplify right side
    457,553.94x = 108,384,582,796.64
  5. Step 5: Solve for x
    x = 108,384,582,796.64/457,553.94
  6. Step 6: Final answer
    x = 236,878.26

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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.