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Finding the Fourth Proportional to 415,752.91, 573,738.87 and 224,766.25

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Solution

The fourth proportional to 415,752.91, 573,738.87 and 224,766.25 is: 310,177.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,752.91 : 573,738.87 = 224,766.25 : x
  2. Step 2: Convert to fraction form
    415,752.91/573,738.87 = 224,766.25/x
  3. Step 3: Cross multiply
    415,752.91x = 573,738.87 × 224,766.25
  4. Step 4: Simplify right side
    415,752.91x = 128,957,134,289.14
  5. Step 5: Solve for x
    x = 128,957,134,289.14/415,752.91
  6. Step 6: Final answer
    x = 310,177.35

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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.