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Finding the Fourth Proportional to 415,657.90, 573,607.56 and 224,671.30

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Solution

The fourth proportional to 415,657.90, 573,607.56 and 224,671.30 is: 310,046.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,657.90 : 573,607.56 = 224,671.30 : x
  2. Step 2: Convert to fraction form
    415,657.90/573,607.56 = 224,671.30/x
  3. Step 3: Cross multiply
    415,657.90x = 573,607.56 × 224,671.30
  4. Step 4: Simplify right side
    415,657.90x = 128,873,156,195.03
  5. Step 5: Solve for x
    x = 128,873,156,195.03/415,657.90
  6. Step 6: Final answer
    x = 310,046.21

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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.