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Finding the Fourth Proportional to 266,714.20, 400,071.30 and 224,723.80

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Solution

The fourth proportional to 266,714.20, 400,071.30 and 224,723.80 is: 337,085.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,714.20 : 400,071.30 = 224,723.80 : x
  2. Step 2: Convert to fraction form
    266,714.20/400,071.30 = 224,723.80/x
  3. Step 3: Cross multiply
    266,714.20x = 400,071.30 × 224,723.80
  4. Step 4: Simplify right side
    266,714.20x = 89,905,542,806.94
  5. Step 5: Solve for x
    x = 89,905,542,806.94/266,714.20
  6. Step 6: Final answer
    x = 337,085.70

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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.