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Finding the Fourth Proportional to 381,633.93, 572,713.25 and 132,315.93

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Solution

The fourth proportional to 381,633.93, 572,713.25 and 132,315.93 is: 198,564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,633.93 : 572,713.25 = 132,315.93 : x
  2. Step 2: Convert to fraction form
    381,633.93/572,713.25 = 132,315.93/x
  3. Step 3: Cross multiply
    381,633.93x = 572,713.25 × 132,315.93
  4. Step 4: Simplify right side
    381,633.93x = 75,779,085,635.49
  5. Step 5: Solve for x
    x = 75,779,085,635.49/381,633.93
  6. Step 6: Final answer
    x = 198,564.85

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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.