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Finding the Fourth Proportional to 422,222.32, 582,645.16 and 231,198.80

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Solution

The fourth proportional to 422,222.32, 582,645.16 and 231,198.80 is: 319,042.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,222.32 : 582,645.16 = 231,198.80 : x
  2. Step 2: Convert to fraction form
    422,222.32/582,645.16 = 231,198.80/x
  3. Step 3: Cross multiply
    422,222.32x = 582,645.16 × 231,198.80
  4. Step 4: Simplify right side
    422,222.32x = 134,706,861,817.81
  5. Step 5: Solve for x
    x = 134,706,861,817.81/422,222.32
  6. Step 6: Final answer
    x = 319,042.49

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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.