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Finding the Fourth Proportional to 331,342.88, 497,014.31 and 82,024.88

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Solution

The fourth proportional to 331,342.88, 497,014.31 and 82,024.88 is: 123,037.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,342.88 : 497,014.31 = 82,024.88 : x
  2. Step 2: Convert to fraction form
    331,342.88/497,014.31 = 82,024.88/x
  3. Step 3: Cross multiply
    331,342.88x = 497,014.31 × 82,024.88
  4. Step 4: Simplify right side
    331,342.88x = 40,767,536,856.02
  5. Step 5: Solve for x
    x = 40,767,536,856.02/331,342.88
  6. Step 6: Final answer
    x = 123,037.31

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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.