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Finding the Fourth Proportional to 406,177.28, 560,542.16 and 224,889.21

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Solution

The fourth proportional to 406,177.28, 560,542.16 and 224,889.21 is: 310,356.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,177.28 : 560,542.16 = 224,889.21 : x
  2. Step 2: Convert to fraction form
    406,177.28/560,542.16 = 224,889.21/x
  3. Step 3: Cross multiply
    406,177.28x = 560,542.16 × 224,889.21
  4. Step 4: Simplify right side
    406,177.28x = 126,059,880,731.38
  5. Step 5: Solve for x
    x = 126,059,880,731.38/406,177.28
  6. Step 6: Final answer
    x = 310,356.80

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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.