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Finding the Fourth Proportional to 307,565.64, 424,614.96 and 200,081.88

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Solution

The fourth proportional to 307,565.64, 424,614.96 and 200,081.88 is: 276,226.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,565.64 : 424,614.96 = 200,081.88 : x
  2. Step 2: Convert to fraction form
    307,565.64/424,614.96 = 200,081.88/x
  3. Step 3: Cross multiply
    307,565.64x = 424,614.96 × 200,081.88
  4. Step 4: Simplify right side
    307,565.64x = 84,957,759,472.92
  5. Step 5: Solve for x
    x = 84,957,759,472.92/307,565.64
  6. Step 6: Final answer
    x = 276,226.43

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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.