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Finding the Fourth Proportional to 408,475.92, 563,686.92 and 227,187.30

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Solution

The fourth proportional to 408,475.92, 563,686.92 and 227,187.30 is: 313,513.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,475.92 : 563,686.92 = 227,187.30 : x
  2. Step 2: Convert to fraction form
    408,475.92/563,686.92 = 227,187.30/x
  3. Step 3: Cross multiply
    408,475.92x = 563,686.92 × 227,187.30
  4. Step 4: Simplify right side
    408,475.92x = 128,062,509,400.12
  5. Step 5: Solve for x
    x = 128,062,509,400.12/408,475.92
  6. Step 6: Final answer
    x = 313,513.00

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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.