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Finding the Fourth Proportional to 777,188.82, 1,165,940.34 and 327,910.80

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Solution

The fourth proportional to 777,188.82, 1,165,940.34 and 327,910.80 is: 491,932.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,188.82 : 1,165,940.34 = 327,910.80 : x
  2. Step 2: Convert to fraction form
    777,188.82/1,165,940.34 = 327,910.80/x
  3. Step 3: Cross multiply
    777,188.82x = 1,165,940.34 × 327,910.80
  4. Step 4: Simplify right side
    777,188.82x = 382,324,429,641.67
  5. Step 5: Solve for x
    x = 382,324,429,641.67/777,188.82
  6. Step 6: Final answer
    x = 491,932.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.