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Finding the Fourth Proportional to 422,092.86, 582,465.78 and 231,069.48

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Solution

The fourth proportional to 422,092.86, 582,465.78 and 231,069.48 is: 318,863.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,092.86 : 582,465.78 = 231,069.48 : x
  2. Step 2: Convert to fraction form
    422,092.86/582,465.78 = 231,069.48/x
  3. Step 3: Cross multiply
    422,092.86x = 582,465.78 × 231,069.48
  4. Step 4: Simplify right side
    422,092.86x = 134,590,064,902.39
  5. Step 5: Solve for x
    x = 134,590,064,902.39/422,092.86
  6. Step 6: Final answer
    x = 318,863.64

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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.