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Finding the Fourth Proportional to 415,951.11, 574,012.92 and 224,964.50

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Solution

The fourth proportional to 415,951.11, 574,012.92 and 224,964.50 is: 310,451.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,951.11 : 574,012.92 = 224,964.50 : x
  2. Step 2: Convert to fraction form
    415,951.11/574,012.92 = 224,964.50/x
  3. Step 3: Cross multiply
    415,951.11x = 574,012.92 × 224,964.50
  4. Step 4: Simplify right side
    415,951.11x = 129,132,528,416.52
  5. Step 5: Solve for x
    x = 129,132,528,416.52/415,951.11
  6. Step 6: Final answer
    x = 310,451.22

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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.