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Finding the Fourth Proportional to 408,983.22, 564,409.44 and 222,727.14

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Solution

The fourth proportional to 408,983.22, 564,409.44 and 222,727.14 is: 307,370.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,983.22 : 564,409.44 = 222,727.14 : x
  2. Step 2: Convert to fraction form
    408,983.22/564,409.44 = 222,727.14/x
  3. Step 3: Cross multiply
    408,983.22x = 564,409.44 × 222,727.14
  4. Step 4: Simplify right side
    408,983.22x = 125,709,300,360.20
  5. Step 5: Solve for x
    x = 125,709,300,360.20/408,983.22
  6. Step 6: Final answer
    x = 307,370.31

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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.