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Finding the Fourth Proportional to 360,968.38, 498,140.31 and 199,826.12

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Solution

The fourth proportional to 360,968.38, 498,140.31 and 199,826.12 is: 275,762.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,968.38 : 498,140.31 = 199,826.12 : x
  2. Step 2: Convert to fraction form
    360,968.38/498,140.31 = 199,826.12/x
  3. Step 3: Cross multiply
    360,968.38x = 498,140.31 × 199,826.12
  4. Step 4: Simplify right side
    360,968.38x = 99,541,446,233.57
  5. Step 5: Solve for x
    x = 99,541,446,233.57/360,968.38
  6. Step 6: Final answer
    x = 275,762.23

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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.