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Finding the Fourth Proportional to 422,296.26, 582,769 and 231,312.84

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Solution

The fourth proportional to 422,296.26, 582,769 and 231,312.84 is: 319,211.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,296.26 : 582,769 = 231,312.84 : x
  2. Step 2: Convert to fraction form
    422,296.26/582,769 = 231,312.84/x
  3. Step 3: Cross multiply
    422,296.26x = 582,769 × 231,312.84
  4. Step 4: Simplify right side
    422,296.26x = 134,801,952,453.96
  5. Step 5: Solve for x
    x = 134,801,952,453.96/422,296.26
  6. Step 6: Final answer
    x = 319,211.81

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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.