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Finding the Fourth Proportional to 361,310.52, 498,612.38 and 200,175.09

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Solution

The fourth proportional to 361,310.52, 498,612.38 and 200,175.09 is: 276,243.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,310.52 : 498,612.38 = 200,175.09 : x
  2. Step 2: Convert to fraction form
    361,310.52/498,612.38 = 200,175.09/x
  3. Step 3: Cross multiply
    361,310.52x = 498,612.38 × 200,175.09
  4. Step 4: Simplify right side
    361,310.52x = 99,809,777,040.74
  5. Step 5: Solve for x
    x = 99,809,777,040.74/361,310.52
  6. Step 6: Final answer
    x = 276,243.76

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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.