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Finding the Fourth Proportional to 422,054.97, 582,437.57 and 231,086.13

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Solution

The fourth proportional to 422,054.97, 582,437.57 and 231,086.13 is: 318,899.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,054.97 : 582,437.57 = 231,086.13 : x
  2. Step 2: Convert to fraction form
    422,054.97/582,437.57 = 231,086.13/x
  3. Step 3: Cross multiply
    422,054.97x = 582,437.57 × 231,086.13
  4. Step 4: Simplify right side
    422,054.97x = 134,593,244,017.90
  5. Step 5: Solve for x
    x = 134,593,244,017.90/422,054.97
  6. Step 6: Final answer
    x = 318,899.80

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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.