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Finding the Fourth Proportional to 312,198.62, 468,297.95 and 75,541.30

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Solution

The fourth proportional to 312,198.62, 468,297.95 and 75,541.30 is: 113,311.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,198.62 : 468,297.95 = 75,541.30 : x
  2. Step 2: Convert to fraction form
    312,198.62/468,297.95 = 75,541.30/x
  3. Step 3: Cross multiply
    312,198.62x = 468,297.95 × 75,541.30
  4. Step 4: Simplify right side
    312,198.62x = 35,375,834,381.88
  5. Step 5: Solve for x
    x = 35,375,834,381.88/312,198.62
  6. Step 6: Final answer
    x = 113,311.95

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1.5x scale

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.