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Finding the Fourth Proportional to 295,456.68, 443,147.84 and 82,240.58

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Solution

The fourth proportional to 295,456.68, 443,147.84 and 82,240.58 is: 123,350.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,456.68 : 443,147.84 = 82,240.58 : x
  2. Step 2: Convert to fraction form
    295,456.68/443,147.84 = 82,240.58/x
  3. Step 3: Cross multiply
    295,456.68x = 443,147.84 × 82,240.58
  4. Step 4: Simplify right side
    295,456.68x = 36,444,735,387.35
  5. Step 5: Solve for x
    x = 36,444,735,387.35/295,456.68
  6. Step 6: Final answer
    x = 123,350.52

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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.