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Finding the Fourth Proportional to 410,694.75, 566,760.72 and 229,414.32

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Solution

The fourth proportional to 410,694.75, 566,760.72 and 229,414.32 is: 316,592.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,694.75 : 566,760.72 = 229,414.32 : x
  2. Step 2: Convert to fraction form
    410,694.75/566,760.72 = 229,414.32/x
  3. Step 3: Cross multiply
    410,694.75x = 566,760.72 × 229,414.32
  4. Step 4: Simplify right side
    410,694.75x = 130,023,023,056.16
  5. Step 5: Solve for x
    x = 130,023,023,056.16/410,694.75
  6. Step 6: Final answer
    x = 316,592.86

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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.