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Finding the Fourth Proportional to 408,846.80, 564,194.76 and 229,964.24

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Solution

The fourth proportional to 408,846.80, 564,194.76 and 229,964.24 is: 317,342.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,846.80 : 564,194.76 = 229,964.24 : x
  2. Step 2: Convert to fraction form
    408,846.80/564,194.76 = 229,964.24/x
  3. Step 3: Cross multiply
    408,846.80x = 564,194.76 × 229,964.24
  4. Step 4: Simplify right side
    408,846.80x = 129,744,619,195.38
  5. Step 5: Solve for x
    x = 129,744,619,195.38/408,846.80
  6. Step 6: Final answer
    x = 317,342.88

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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.