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Finding the Fourth Proportional to 422,302.08, 582,777.60 and 231,315.84

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Solution

The fourth proportional to 422,302.08, 582,777.60 and 231,315.84 is: 319,216.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,302.08 : 582,777.60 = 231,315.84 : x
  2. Step 2: Convert to fraction form
    422,302.08/582,777.60 = 231,315.84/x
  3. Step 3: Cross multiply
    422,302.08x = 582,777.60 × 231,315.84
  4. Step 4: Simplify right side
    422,302.08x = 134,805,690,077.18
  5. Step 5: Solve for x
    x = 134,805,690,077.18/422,302.08
  6. Step 6: Final answer
    x = 319,216.26

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