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Finding the Fourth Proportional to 361,598.28, 498,959.52 and 200,451.90

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Solution

The fourth proportional to 361,598.28, 498,959.52 and 200,451.90 is: 276,598.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,598.28 : 498,959.52 = 200,451.90 : x
  2. Step 2: Convert to fraction form
    361,598.28/498,959.52 = 200,451.90/x
  3. Step 3: Cross multiply
    361,598.28x = 498,959.52 × 200,451.90
  4. Step 4: Simplify right side
    361,598.28x = 100,017,383,807.09
  5. Step 5: Solve for x
    x = 100,017,383,807.09/361,598.28
  6. Step 6: Final answer
    x = 276,598.06

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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.