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Finding the Fourth Proportional to 322,049.10, 482,337.90 and 153,687.66

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Solution

The fourth proportional to 322,049.10, 482,337.90 and 153,687.66 is: 230,180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,049.10 : 482,337.90 = 153,687.66 : x
  2. Step 2: Convert to fraction form
    322,049.10/482,337.90 = 153,687.66/x
  3. Step 3: Cross multiply
    322,049.10x = 482,337.90 × 153,687.66
  4. Step 4: Simplify right side
    322,049.10x = 74,129,383,180.31
  5. Step 5: Solve for x
    x = 74,129,383,180.31/322,049.10
  6. Step 6: Final answer
    x = 230,180.38

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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.