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Finding the Fourth Proportional to 230,512.28, 317,928.08 and 204,697.98

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Solution

The fourth proportional to 230,512.28, 317,928.08 and 204,697.98 is: 282,324.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,512.28 : 317,928.08 = 204,697.98 : x
  2. Step 2: Convert to fraction form
    230,512.28/317,928.08 = 204,697.98/x
  3. Step 3: Cross multiply
    230,512.28x = 317,928.08 × 204,697.98
  4. Step 4: Simplify right side
    230,512.28x = 65,079,234,737.79
  5. Step 5: Solve for x
    x = 65,079,234,737.79/230,512.28
  6. Step 6: Final answer
    x = 282,324.37

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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.