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Finding the Fourth Proportional to 381,662.22, 572,755.74 and 132,344.22

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Solution

The fourth proportional to 381,662.22, 572,755.74 and 132,344.22 is: 198,607.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,662.22 : 572,755.74 = 132,344.22 : x
  2. Step 2: Convert to fraction form
    381,662.22/572,755.74 = 132,344.22/x
  3. Step 3: Cross multiply
    381,662.22x = 572,755.74 × 132,344.22
  4. Step 4: Simplify right side
    381,662.22x = 75,800,908,797.04
  5. Step 5: Solve for x
    x = 75,800,908,797.04/381,662.22
  6. Step 6: Final answer
    x = 198,607.32

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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.