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Finding the Fourth Proportional to 457,167.14, 685,752.99 and 187,442.61

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Solution

The fourth proportional to 457,167.14, 685,752.99 and 187,442.61 is: 281,164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,167.14 : 685,752.99 = 187,442.61 : x
  2. Step 2: Convert to fraction form
    457,167.14/685,752.99 = 187,442.61/x
  3. Step 3: Cross multiply
    457,167.14x = 685,752.99 × 187,442.61
  4. Step 4: Simplify right side
    457,167.14x = 128,539,330,260.90
  5. Step 5: Solve for x
    x = 128,539,330,260.90/457,167.14
  6. Step 6: Final answer
    x = 281,164.85

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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.