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Finding the Fourth Proportional to 408,315.52, 563,464.92 and 227,018.08

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Solution

The fourth proportional to 408,315.52, 563,464.92 and 227,018.08 is: 313,279.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,315.52 : 563,464.92 = 227,018.08 : x
  2. Step 2: Convert to fraction form
    408,315.52/563,464.92 = 227,018.08/x
  3. Step 3: Cross multiply
    408,315.52x = 563,464.92 × 227,018.08
  4. Step 4: Simplify right side
    408,315.52x = 127,916,724,285.75
  5. Step 5: Solve for x
    x = 127,916,724,285.75/408,315.52
  6. Step 6: Final answer
    x = 313,279.11

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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.