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Finding the Fourth Proportional to 406,177.29, 560,542.19 and 224,889.23

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Solution

The fourth proportional to 406,177.29, 560,542.19 and 224,889.23 is: 310,356.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,177.29 : 560,542.19 = 224,889.23 : x
  2. Step 2: Convert to fraction form
    406,177.29/560,542.19 = 224,889.23/x
  3. Step 3: Cross multiply
    406,177.29x = 560,542.19 × 224,889.23
  4. Step 4: Simplify right side
    406,177.29x = 126,059,901,491.61
  5. Step 5: Solve for x
    x = 126,059,901,491.61/406,177.29
  6. Step 6: Final answer
    x = 310,356.84

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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.