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Finding the Fourth Proportional to 361,419.11, 498,752.39 and 198,074.36

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Solution

The fourth proportional to 361,419.11, 498,752.39 and 198,074.36 is: 273,339.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,419.11 : 498,752.39 = 198,074.36 : x
  2. Step 2: Convert to fraction form
    361,419.11/498,752.39 = 198,074.36/x
  3. Step 3: Cross multiply
    361,419.11x = 498,752.39 × 198,074.36
  4. Step 4: Simplify right side
    361,419.11x = 98,790,060,787.05
  5. Step 5: Solve for x
    x = 98,790,060,787.05/361,419.11
  6. Step 6: Final answer
    x = 273,339.34

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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.