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Finding the Fourth Proportional to 295,686.45, 443,481.14 and 82,468.87

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Solution

The fourth proportional to 295,686.45, 443,481.14 and 82,468.87 is: 123,689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,686.45 : 443,481.14 = 82,468.87 : x
  2. Step 2: Convert to fraction form
    295,686.45/443,481.14 = 82,468.87/x
  3. Step 3: Cross multiply
    295,686.45x = 443,481.14 × 82,468.87
  4. Step 4: Simplify right side
    295,686.45x = 36,573,387,579.58
  5. Step 5: Solve for x
    x = 36,573,387,579.58/295,686.45
  6. Step 6: Final answer
    x = 123,689.77

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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.