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Finding the Fourth Proportional to 415,938.71, 573,995.42 and 224,952.10

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Solution

The fourth proportional to 415,938.71, 573,995.42 and 224,952.10 is: 310,433.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,938.71 : 573,995.42 = 224,952.10 : x
  2. Step 2: Convert to fraction form
    415,938.71/573,995.42 = 224,952.10/x
  3. Step 3: Cross multiply
    415,938.71x = 573,995.42 × 224,952.10
  4. Step 4: Simplify right side
    415,938.71x = 129,121,475,119.38
  5. Step 5: Solve for x
    x = 129,121,475,119.38/415,938.71
  6. Step 6: Final answer
    x = 310,433.90

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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.