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Finding the Fourth Proportional to 331,651.88, 497,477.80 and 82,333.88

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Solution

The fourth proportional to 331,651.88, 497,477.80 and 82,333.88 is: 123,500.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,651.88 : 497,477.80 = 82,333.88 : x
  2. Step 2: Convert to fraction form
    331,651.88/497,477.80 = 82,333.88/x
  3. Step 3: Cross multiply
    331,651.88x = 497,477.80 × 82,333.88
  4. Step 4: Simplify right side
    331,651.88x = 40,959,277,487.86
  5. Step 5: Solve for x
    x = 40,959,277,487.86/331,651.88
  6. Step 6: Final answer
    x = 123,500.82

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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.