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Finding the Fourth Proportional to 422,343, 582,833.34 and 231,357.18

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Solution

The fourth proportional to 422,343, 582,833.34 and 231,357.18 is: 319,272.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,343 : 582,833.34 = 231,357.18 : x
  2. Step 2: Convert to fraction form
    422,343/582,833.34 = 231,357.18/x
  3. Step 3: Cross multiply
    422,343x = 582,833.34 × 231,357.18
  4. Step 4: Simplify right side
    422,343x = 134,842,677,952.38
  5. Step 5: Solve for x
    x = 134,842,677,952.38/422,343
  6. Step 6: Final answer
    x = 319,272.91

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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.