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Finding the Fourth Proportional to 422,297.20, 582,772.08 and 231,310

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Solution

The fourth proportional to 422,297.20, 582,772.08 and 231,310 is: 319,208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,297.20 : 582,772.08 = 231,310 : x
  2. Step 2: Convert to fraction form
    422,297.20/582,772.08 = 231,310/x
  3. Step 3: Cross multiply
    422,297.20x = 582,772.08 × 231,310
  4. Step 4: Simplify right side
    422,297.20x = 134,801,009,824.80
  5. Step 5: Solve for x
    x = 134,801,009,824.80/422,297.20
  6. Step 6: Final answer
    x = 319,208.86

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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.