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Finding the Fourth Proportional to 422,291.32, 582,746.34 and 231,306.28

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Solution

The fourth proportional to 422,291.32, 582,746.34 and 231,306.28 is: 319,194.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,291.32 : 582,746.34 = 231,306.28 : x
  2. Step 2: Convert to fraction form
    422,291.32/582,746.34 = 231,306.28/x
  3. Step 3: Cross multiply
    422,291.32x = 582,746.34 × 231,306.28
  4. Step 4: Simplify right side
    422,291.32x = 134,792,888,089.02
  5. Step 5: Solve for x
    x = 134,792,888,089.02/422,291.32
  6. Step 6: Final answer
    x = 319,194.08

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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.