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Finding the Fourth Proportional to 311,198.52, 466,840.98 and 100,768.44

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Solution

The fourth proportional to 311,198.52, 466,840.98 and 100,768.44 is: 151,166.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,198.52 : 466,840.98 = 100,768.44 : x
  2. Step 2: Convert to fraction form
    311,198.52/466,840.98 = 100,768.44/x
  3. Step 3: Cross multiply
    311,198.52x = 466,840.98 × 100,768.44
  4. Step 4: Simplify right side
    311,198.52x = 47,042,837,282.67
  5. Step 5: Solve for x
    x = 47,042,837,282.67/311,198.52
  6. Step 6: Final answer
    x = 151,166.65

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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.