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Finding the Fourth Proportional to 313,049.82, 469,576.78 and 88,409.38

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Solution

The fourth proportional to 313,049.82, 469,576.78 and 88,409.38 is: 132,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,049.82 : 469,576.78 = 88,409.38 : x
  2. Step 2: Convert to fraction form
    313,049.82/469,576.78 = 88,409.38/x
  3. Step 3: Cross multiply
    313,049.82x = 469,576.78 × 88,409.38
  4. Step 4: Simplify right side
    313,049.82x = 41,514,991,982.20
  5. Step 5: Solve for x
    x = 41,514,991,982.20/313,049.82
  6. Step 6: Final answer
    x = 132,614.65

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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.