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Finding the Fourth Proportional to 331,832.44, 497,749.02 and 82,514.44

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Solution

The fourth proportional to 331,832.44, 497,749.02 and 82,514.44 is: 123,771.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,832.44 : 497,749.02 = 82,514.44 : x
  2. Step 2: Convert to fraction form
    331,832.44/497,749.02 = 82,514.44/x
  3. Step 3: Cross multiply
    331,832.44x = 497,749.02 × 82,514.44
  4. Step 4: Simplify right side
    331,832.44x = 41,071,481,645.85
  5. Step 5: Solve for x
    x = 41,071,481,645.85/331,832.44
  6. Step 6: Final answer
    x = 123,771.75

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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.