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Finding the Fourth Proportional to 408,680.76, 563,965.30 and 224,902.20

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Solution

The fourth proportional to 408,680.76, 563,965.30 and 224,902.20 is: 310,357.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,680.76 : 563,965.30 = 224,902.20 : x
  2. Step 2: Convert to fraction form
    408,680.76/563,965.30 = 224,902.20/x
  3. Step 3: Cross multiply
    408,680.76x = 563,965.30 × 224,902.20
  4. Step 4: Simplify right side
    408,680.76x = 126,837,036,693.66
  5. Step 5: Solve for x
    x = 126,837,036,693.66/408,680.76
  6. Step 6: Final answer
    x = 310,357.25

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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.