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Finding the Fourth Proportional to 415,346.90, 573,178.38 and 224,360.24

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Solution

The fourth proportional to 415,346.90, 573,178.38 and 224,360.24 is: 309,616.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,346.90 : 573,178.38 = 224,360.24 : x
  2. Step 2: Convert to fraction form
    415,346.90/573,178.38 = 224,360.24/x
  3. Step 3: Cross multiply
    415,346.90x = 573,178.38 × 224,360.24
  4. Step 4: Simplify right side
    415,346.90x = 128,598,438,899.61
  5. Step 5: Solve for x
    x = 128,598,438,899.61/415,346.90
  6. Step 6: Final answer
    x = 309,616.95

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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.