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Finding the Fourth Proportional to 408,984.22, 564,410.82 and 222,728.14

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Solution

The fourth proportional to 408,984.22, 564,410.82 and 222,728.14 is: 307,371.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,984.22 : 564,410.82 = 222,728.14 : x
  2. Step 2: Convert to fraction form
    408,984.22/564,410.82 = 222,728.14/x
  3. Step 3: Cross multiply
    408,984.22x = 564,410.82 × 222,728.14
  4. Step 4: Simplify right side
    408,984.22x = 125,710,172,134.48
  5. Step 5: Solve for x
    x = 125,710,172,134.48/408,984.22
  6. Step 6: Final answer
    x = 307,371.69

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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.