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Finding the Fourth Proportional to 361,086.12, 498,216.42 and 232,092

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Solution

The fourth proportional to 361,086.12, 498,216.42 and 232,092 is: 320,233.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,086.12 : 498,216.42 = 232,092 : x
  2. Step 2: Convert to fraction form
    361,086.12/498,216.42 = 232,092/x
  3. Step 3: Cross multiply
    361,086.12x = 498,216.42 × 232,092
  4. Step 4: Simplify right side
    361,086.12x = 115,632,045,350.64
  5. Step 5: Solve for x
    x = 115,632,045,350.64/361,086.12
  6. Step 6: Final answer
    x = 320,233.98

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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.