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Finding the Fourth Proportional to 331,747.01, 497,620.85 and 82,429.01

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Solution

The fourth proportional to 331,747.01, 497,620.85 and 82,429.01 is: 123,643.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,747.01 : 497,620.85 = 82,429.01 : x
  2. Step 2: Convert to fraction form
    331,747.01/497,620.85 = 82,429.01/x
  3. Step 3: Cross multiply
    331,747.01x = 497,620.85 × 82,429.01
  4. Step 4: Simplify right side
    331,747.01x = 41,018,391,738.83
  5. Step 5: Solve for x
    x = 41,018,391,738.83/331,747.01
  6. Step 6: Final answer
    x = 123,643.59

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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.