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Finding the Fourth Proportional to 415,826.64, 573,841.17 and 224,839.98

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Solution

The fourth proportional to 415,826.64, 573,841.17 and 224,839.98 is: 310,279.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,826.64 : 573,841.17 = 224,839.98 : x
  2. Step 2: Convert to fraction form
    415,826.64/573,841.17 = 224,839.98/x
  3. Step 3: Cross multiply
    415,826.64x = 573,841.17 × 224,839.98
  4. Step 4: Simplify right side
    415,826.64x = 129,022,437,185.98
  5. Step 5: Solve for x
    x = 129,022,437,185.98/415,826.64
  6. Step 6: Final answer
    x = 310,279.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.