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Finding the Fourth Proportional to 465,910.44, 699,188.76 and 213,221.76

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Solution

The fourth proportional to 465,910.44, 699,188.76 and 213,221.76 is: 319,980.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,910.44 : 699,188.76 = 213,221.76 : x
  2. Step 2: Convert to fraction form
    465,910.44/699,188.76 = 213,221.76/x
  3. Step 3: Cross multiply
    465,910.44x = 699,188.76 × 213,221.76
  4. Step 4: Simplify right side
    465,910.44x = 149,082,257,979.42
  5. Step 5: Solve for x
    x = 149,082,257,979.42/465,910.44
  6. Step 6: Final answer
    x = 319,980.51

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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.