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Finding the Fourth Proportional to 322,296.52, 444,626.10 and 214,761.64

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Solution

The fourth proportional to 322,296.52, 444,626.10 and 214,761.64 is: 296,275.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,296.52 : 444,626.10 = 214,761.64 : x
  2. Step 2: Convert to fraction form
    322,296.52/444,626.10 = 214,761.64/x
  3. Step 3: Cross multiply
    322,296.52x = 444,626.10 × 214,761.64
  4. Step 4: Simplify right side
    322,296.52x = 95,488,630,422.80
  5. Step 5: Solve for x
    x = 95,488,630,422.80/322,296.52
  6. Step 6: Final answer
    x = 296,275.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.