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Finding the Fourth Proportional to 437,864.62, 656,824.67 and 185,098

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Solution

The fourth proportional to 437,864.62, 656,824.67 and 185,098 is: 277,658.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,864.62 : 656,824.67 = 185,098 : x
  2. Step 2: Convert to fraction form
    437,864.62/656,824.67 = 185,098/x
  3. Step 3: Cross multiply
    437,864.62x = 656,824.67 × 185,098
  4. Step 4: Simplify right side
    437,864.62x = 121,576,932,767.66
  5. Step 5: Solve for x
    x = 121,576,932,767.66/437,864.62
  6. Step 6: Final answer
    x = 277,658.73

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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.