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Finding the Fourth Proportional to 361,080.86, 498,251.35 and 199,895.54

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Solution

The fourth proportional to 361,080.86, 498,251.35 and 199,895.54 is: 275,833.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,080.86 : 498,251.35 = 199,895.54 : x
  2. Step 2: Convert to fraction form
    361,080.86/498,251.35 = 199,895.54/x
  3. Step 3: Cross multiply
    361,080.86x = 498,251.35 × 199,895.54
  4. Step 4: Simplify right side
    361,080.86x = 99,598,222,853.24
  5. Step 5: Solve for x
    x = 99,598,222,853.24/361,080.86
  6. Step 6: Final answer
    x = 275,833.57

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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.