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Finding the Fourth Proportional to 422,940.93, 583,659.17 and 231,955.48

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Solution

The fourth proportional to 422,940.93, 583,659.17 and 231,955.48 is: 320,098.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,940.93 : 583,659.17 = 231,955.48 : x
  2. Step 2: Convert to fraction form
    422,940.93/583,659.17 = 231,955.48/x
  3. Step 3: Cross multiply
    422,940.93x = 583,659.17 × 231,955.48
  4. Step 4: Simplify right side
    422,940.93x = 135,382,942,933.75
  5. Step 5: Solve for x
    x = 135,382,942,933.75/422,940.93
  6. Step 6: Final answer
    x = 320,098.94

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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.