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Finding the Fourth Proportional to 422,031.83, 582,418.61 and 231,046.58

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Solution

The fourth proportional to 422,031.83, 582,418.61 and 231,046.58 is: 318,852.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,031.83 : 582,418.61 = 231,046.58 : x
  2. Step 2: Convert to fraction form
    422,031.83/582,418.61 = 231,046.58/x
  3. Step 3: Cross multiply
    422,031.83x = 582,418.61 × 231,046.58
  4. Step 4: Simplify right side
    422,031.83x = 134,565,823,901.53
  5. Step 5: Solve for x
    x = 134,565,823,901.53/422,031.83
  6. Step 6: Final answer
    x = 318,852.31

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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.