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Finding the Fourth Proportional to 361,092.12, 498,224.70 and 232,098

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Solution

The fourth proportional to 361,092.12, 498,224.70 and 232,098 is: 320,242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,092.12 : 498,224.70 = 232,098 : x
  2. Step 2: Convert to fraction form
    361,092.12/498,224.70 = 232,098/x
  3. Step 3: Cross multiply
    361,092.12x = 498,224.70 × 232,098
  4. Step 4: Simplify right side
    361,092.12x = 115,636,956,420.60
  5. Step 5: Solve for x
    x = 115,636,956,420.60/361,092.12
  6. Step 6: Final answer
    x = 320,242.26

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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.