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Finding the Fourth Proportional to 422,342.75, 582,833.10 and 231,362.93

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Solution

The fourth proportional to 422,342.75, 582,833.10 and 231,362.93 is: 319,280.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,342.75 : 582,833.10 = 231,362.93 : x
  2. Step 2: Convert to fraction form
    422,342.75/582,833.10 = 231,362.93/x
  3. Step 3: Cross multiply
    422,342.75x = 582,833.10 × 231,362.93
  4. Step 4: Simplify right side
    422,342.75x = 134,845,970,802.82
  5. Step 5: Solve for x
    x = 134,845,970,802.82/422,342.75
  6. Step 6: Final answer
    x = 319,280.90

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Why These Related Problems?

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