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Finding the Fourth Proportional to 360,873.38, 498,006.33 and 199,739.62

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Solution

The fourth proportional to 360,873.38, 498,006.33 and 199,739.62 is: 275,641.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,873.38 : 498,006.33 = 199,739.62 : x
  2. Step 2: Convert to fraction form
    360,873.38/498,006.33 = 199,739.62/x
  3. Step 3: Cross multiply
    360,873.38x = 498,006.33 × 199,739.62
  4. Step 4: Simplify right side
    360,873.38x = 99,471,595,111.79
  5. Step 5: Solve for x
    x = 99,471,595,111.79/360,873.38
  6. Step 6: Final answer
    x = 275,641.27

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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.