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Finding the Fourth Proportional to 408,662.75, 563,957.40 and 227,382.32

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Solution

The fourth proportional to 408,662.75, 563,957.40 and 227,382.32 is: 313,789.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,662.75 : 563,957.40 = 227,382.32 : x
  2. Step 2: Convert to fraction form
    408,662.75/563,957.40 = 227,382.32/x
  3. Step 3: Cross multiply
    408,662.75x = 563,957.40 × 227,382.32
  4. Step 4: Simplify right side
    408,662.75x = 128,233,944,255.75
  5. Step 5: Solve for x
    x = 128,233,944,255.75/408,662.75
  6. Step 6: Final answer
    x = 313,789.17

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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.