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Finding the Fourth Proportional to 274,876.86, 411,841.92 and 214,882

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Solution

The fourth proportional to 274,876.86, 411,841.92 and 214,882 is: 321,952.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,876.86 : 411,841.92 = 214,882 : x
  2. Step 2: Convert to fraction form
    274,876.86/411,841.92 = 214,882/x
  3. Step 3: Cross multiply
    274,876.86x = 411,841.92 × 214,882
  4. Step 4: Simplify right side
    274,876.86x = 88,497,415,453.44
  5. Step 5: Solve for x
    x = 88,497,415,453.44/274,876.86
  6. Step 6: Final answer
    x = 321,952.95

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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.