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Finding the Fourth Proportional to 410,856.20, 616,917.90 and 224,232.20

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Solution

The fourth proportional to 410,856.20, 616,917.90 and 224,232.20 is: 336,694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,856.20 : 616,917.90 = 224,232.20 : x
  2. Step 2: Convert to fraction form
    410,856.20/616,917.90 = 224,232.20/x
  3. Step 3: Cross multiply
    410,856.20x = 616,917.90 × 224,232.20
  4. Step 4: Simplify right side
    410,856.20x = 138,332,857,936.38
  5. Step 5: Solve for x
    x = 138,332,857,936.38/410,856.20
  6. Step 6: Final answer
    x = 336,694.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.