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Finding the Fourth Proportional to 360,949.59, 498,154.92 and 205,939.02

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Solution

The fourth proportional to 360,949.59, 498,154.92 and 205,939.02 is: 284,221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,949.59 : 498,154.92 = 205,939.02 : x
  2. Step 2: Convert to fraction form
    360,949.59/498,154.92 = 205,939.02/x
  3. Step 3: Cross multiply
    360,949.59x = 498,154.92 × 205,939.02
  4. Step 4: Simplify right side
    360,949.59x = 102,589,536,032.98
  5. Step 5: Solve for x
    x = 102,589,536,032.98/360,949.59
  6. Step 6: Final answer
    x = 284,221.23

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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.