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Finding the Fourth Proportional to 408,308.31, 563,464.96 and 227,014.52

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Solution

The fourth proportional to 408,308.31, 563,464.96 and 227,014.52 is: 313,279.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,308.31 : 563,464.96 = 227,014.52 : x
  2. Step 2: Convert to fraction form
    408,308.31/563,464.96 = 227,014.52/x
  3. Step 3: Cross multiply
    408,308.31x = 563,464.96 × 227,014.52
  4. Step 4: Simplify right side
    408,308.31x = 127,914,724,046.36
  5. Step 5: Solve for x
    x = 127,914,724,046.36/408,308.31
  6. Step 6: Final answer
    x = 313,279.75

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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.