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Finding the Fourth Proportional to 415,781.17, 573,778.89 and 224,794.56

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Solution

The fourth proportional to 415,781.17, 573,778.89 and 224,794.56 is: 310,216.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,781.17 : 573,778.89 = 224,794.56 : x
  2. Step 2: Convert to fraction form
    415,781.17/573,778.89 = 224,794.56/x
  3. Step 3: Cross multiply
    415,781.17x = 573,778.89 × 224,794.56
  4. Step 4: Simplify right side
    415,781.17x = 128,982,373,114.84
  5. Step 5: Solve for x
    x = 128,982,373,114.84/415,781.17
  6. Step 6: Final answer
    x = 310,216.97

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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.