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Finding the Fourth Proportional to 295,593.52, 443,382.72 and 82,360.48

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Solution

The fourth proportional to 295,593.52, 443,382.72 and 82,360.48 is: 123,538.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,593.52 : 443,382.72 = 82,360.48 : x
  2. Step 2: Convert to fraction form
    295,593.52/443,382.72 = 82,360.48/x
  3. Step 3: Cross multiply
    295,593.52x = 443,382.72 × 82,360.48
  4. Step 4: Simplify right side
    295,593.52x = 36,517,213,642.91
  5. Step 5: Solve for x
    x = 36,517,213,642.91/295,593.52
  6. Step 6: Final answer
    x = 123,538.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.