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Finding the Fourth Proportional to 415,827.28, 573,841.32 and 224,840.56

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Solution

The fourth proportional to 415,827.28, 573,841.32 and 224,840.56 is: 310,279.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,827.28 : 573,841.32 = 224,840.56 : x
  2. Step 2: Convert to fraction form
    415,827.28/573,841.32 = 224,840.56/x
  3. Step 3: Cross multiply
    415,827.28x = 573,841.32 × 224,840.56
  4. Step 4: Simplify right side
    415,827.28x = 129,022,803,739.94
  5. Step 5: Solve for x
    x = 129,022,803,739.94/415,827.28
  6. Step 6: Final answer
    x = 310,279.80

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