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Finding the Fourth Proportional to 415,906.77, 573,951.36 and 224,920.11

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Solution

The fourth proportional to 415,906.77, 573,951.36 and 224,920.11 is: 310,389.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,906.77 : 573,951.36 = 224,920.11 : x
  2. Step 2: Convert to fraction form
    415,906.77/573,951.36 = 224,920.11/x
  3. Step 3: Cross multiply
    415,906.77x = 573,951.36 × 224,920.11
  4. Step 4: Simplify right side
    415,906.77x = 129,093,203,025.85
  5. Step 5: Solve for x
    x = 129,093,203,025.85/415,906.77
  6. Step 6: Final answer
    x = 310,389.76

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1.5x scale

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.