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Finding the Fourth Proportional to 408,472.92, 563,682.78 and 227,184.30

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Solution

The fourth proportional to 408,472.92, 563,682.78 and 227,184.30 is: 313,508.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,472.92 : 563,682.78 = 227,184.30 : x
  2. Step 2: Convert to fraction form
    408,472.92/563,682.78 = 227,184.30/x
  3. Step 3: Cross multiply
    408,472.92x = 563,682.78 × 227,184.30
  4. Step 4: Simplify right side
    408,472.92x = 128,059,877,796.35
  5. Step 5: Solve for x
    x = 128,059,877,796.35/408,472.92
  6. Step 6: Final answer
    x = 313,508.86

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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.