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Finding the Fourth Proportional to 457,174.91, 685,795.24 and 157,651.18

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Solution

The fourth proportional to 457,174.91, 685,795.24 and 157,651.18 is: 236,488.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,174.91 : 685,795.24 = 157,651.18 : x
  2. Step 2: Convert to fraction form
    457,174.91/685,795.24 = 157,651.18/x
  3. Step 3: Cross multiply
    457,174.91x = 685,795.24 × 157,651.18
  4. Step 4: Simplify right side
    457,174.91x = 108,116,427,306.96
  5. Step 5: Solve for x
    x = 108,116,427,306.96/457,174.91
  6. Step 6: Final answer
    x = 236,488.10

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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.