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Finding the Fourth Proportional to 381,697.80, 572,546.70 and 378,198.60

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Solution

The fourth proportional to 381,697.80, 572,546.70 and 378,198.60 is: 567,297.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,697.80 : 572,546.70 = 378,198.60 : x
  2. Step 2: Convert to fraction form
    381,697.80/572,546.70 = 378,198.60/x
  3. Step 3: Cross multiply
    381,697.80x = 572,546.70 × 378,198.60
  4. Step 4: Simplify right side
    381,697.80x = 216,536,360,374.62
  5. Step 5: Solve for x
    x = 216,536,360,374.62/381,697.80
  6. Step 6: Final answer
    x = 567,297.90

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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.