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Finding the Fourth Proportional to 408,298.92, 563,471.26 and 227,029.48

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Solution

The fourth proportional to 408,298.92, 563,471.26 and 227,029.48 is: 313,311.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,298.92 : 563,471.26 = 227,029.48 : x
  2. Step 2: Convert to fraction form
    408,298.92/563,471.26 = 227,029.48/x
  3. Step 3: Cross multiply
    408,298.92x = 563,471.26 × 227,029.48
  4. Step 4: Simplify right side
    408,298.92x = 127,924,587,152.75
  5. Step 5: Solve for x
    x = 127,924,587,152.75/408,298.92
  6. Step 6: Final answer
    x = 313,311.11

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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.