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Finding the Fourth Proportional to 361,142.98, 498,540.33 and 232,268.74

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Solution

The fourth proportional to 361,142.98, 498,540.33 and 232,268.74 is: 320,635.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,142.98 : 498,540.33 = 232,268.74 : x
  2. Step 2: Convert to fraction form
    361,142.98/498,540.33 = 232,268.74/x
  3. Step 3: Cross multiply
    361,142.98x = 498,540.33 × 232,268.74
  4. Step 4: Simplify right side
    361,142.98x = 115,795,334,288.28
  5. Step 5: Solve for x
    x = 115,795,334,288.28/361,142.98
  6. Step 6: Final answer
    x = 320,635.71

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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.