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Finding the Fourth Proportional to 361,117.46, 498,335.91 and 199,969.04

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Solution

The fourth proportional to 361,117.46, 498,335.91 and 199,969.04 is: 275,953.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,117.46 : 498,335.91 = 199,969.04 : x
  2. Step 2: Convert to fraction form
    361,117.46/498,335.91 = 199,969.04/x
  3. Step 3: Cross multiply
    361,117.46x = 498,335.91 × 199,969.04
  4. Step 4: Simplify right side
    361,117.46x = 99,651,753,520.23
  5. Step 5: Solve for x
    x = 99,651,753,520.23/361,117.46
  6. Step 6: Final answer
    x = 275,953.85

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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.