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Finding the Fourth Proportional to 437,710.86, 656,644.11 and 149,506.86

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Solution

The fourth proportional to 437,710.86, 656,644.11 and 149,506.86 is: 224,286.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,710.86 : 656,644.11 = 149,506.86 : x
  2. Step 2: Convert to fraction form
    437,710.86/656,644.11 = 149,506.86/x
  3. Step 3: Cross multiply
    437,710.86x = 656,644.11 × 149,506.86
  4. Step 4: Simplify right side
    437,710.86x = 98,172,799,023.59
  5. Step 5: Solve for x
    x = 98,172,799,023.59/437,710.86
  6. Step 6: Final answer
    x = 224,286.87

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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.