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Finding the Fourth Proportional to 578,912.80, 868,522.80 and 204,896.80

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Solution

The fourth proportional to 578,912.80, 868,522.80 and 204,896.80 is: 307,399.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,912.80 : 868,522.80 = 204,896.80 : x
  2. Step 2: Convert to fraction form
    578,912.80/868,522.80 = 204,896.80/x
  3. Step 3: Cross multiply
    578,912.80x = 868,522.80 × 204,896.80
  4. Step 4: Simplify right side
    578,912.80x = 177,957,542,447.04
  5. Step 5: Solve for x
    x = 177,957,542,447.04/578,912.80
  6. Step 6: Final answer
    x = 307,399.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.