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Finding the Fourth Proportional to 381,698.70, 572,548.05 and 132,380.70

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Solution

The fourth proportional to 381,698.70, 572,548.05 and 132,380.70 is: 198,571.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,698.70 : 572,548.05 = 132,380.70 : x
  2. Step 2: Convert to fraction form
    381,698.70/572,548.05 = 132,380.70/x
  3. Step 3: Cross multiply
    381,698.70x = 572,548.05 × 132,380.70
  4. Step 4: Simplify right side
    381,698.70x = 75,794,311,642.64
  5. Step 5: Solve for x
    x = 75,794,311,642.64/381,698.70
  6. Step 6: Final answer
    x = 198,571.05

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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.