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Finding the Fourth Proportional to 295,592.52, 443,381.22 and 82,359.48

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Solution

The fourth proportional to 295,592.52, 443,381.22 and 82,359.48 is: 123,537.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,592.52 : 443,381.22 = 82,359.48 : x
  2. Step 2: Convert to fraction form
    295,592.52/443,381.22 = 82,359.48/x
  3. Step 3: Cross multiply
    295,592.52x = 443,381.22 × 82,359.48
  4. Step 4: Simplify right side
    295,592.52x = 36,516,646,720.97
  5. Step 5: Solve for x
    x = 36,516,646,720.97/295,592.52
  6. Step 6: Final answer
    x = 123,537.11

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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.