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Finding the Fourth Proportional to 415,229.05, 573,016.07 and 224,242.43

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Solution

The fourth proportional to 415,229.05, 573,016.07 and 224,242.43 is: 309,454.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,229.05 : 573,016.07 = 224,242.43 : x
  2. Step 2: Convert to fraction form
    415,229.05/573,016.07 = 224,242.43/x
  3. Step 3: Cross multiply
    415,229.05x = 573,016.07 × 224,242.43
  4. Step 4: Simplify right side
    415,229.05x = 128,494,513,661.38
  5. Step 5: Solve for x
    x = 128,494,513,661.38/415,229.05
  6. Step 6: Final answer
    x = 309,454.54

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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.