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Finding the Fourth Proportional to 331,347.50, 497,021.25 and 82,029.50

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Solution

The fourth proportional to 331,347.50, 497,021.25 and 82,029.50 is: 123,044.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,347.50 : 497,021.25 = 82,029.50 : x
  2. Step 2: Convert to fraction form
    331,347.50/497,021.25 = 82,029.50/x
  3. Step 3: Cross multiply
    331,347.50x = 497,021.25 × 82,029.50
  4. Step 4: Simplify right side
    331,347.50x = 40,770,404,626.88
  5. Step 5: Solve for x
    x = 40,770,404,626.88/331,347.50
  6. Step 6: Final answer
    x = 123,044.25

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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.