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Finding the Fourth Proportional to 422,378.90, 582,897.46 and 231,392.24

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Solution

The fourth proportional to 422,378.90, 582,897.46 and 231,392.24 is: 319,329.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,378.90 : 582,897.46 = 231,392.24 : x
  2. Step 2: Convert to fraction form
    422,378.90/582,897.46 = 231,392.24/x
  3. Step 3: Cross multiply
    422,378.90x = 582,897.46 × 231,392.24
  4. Step 4: Simplify right side
    422,378.90x = 134,877,948,959.71
  5. Step 5: Solve for x
    x = 134,877,948,959.71/422,378.90
  6. Step 6: Final answer
    x = 319,329.28

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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.