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Finding the Fourth Proportional to 408,948.27, 564,361.14 and 222,692.05

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Solution

The fourth proportional to 408,948.27, 564,361.14 and 222,692.05 is: 307,321.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,948.27 : 564,361.14 = 222,692.05 : x
  2. Step 2: Convert to fraction form
    408,948.27/564,361.14 = 222,692.05/x
  3. Step 3: Cross multiply
    408,948.27x = 564,361.14 × 222,692.05
  4. Step 4: Simplify right side
    408,948.27x = 125,678,739,206.94
  5. Step 5: Solve for x
    x = 125,678,739,206.94/408,948.27
  6. Step 6: Final answer
    x = 307,321.85

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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.