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Finding the Fourth Proportional to 311,190.48, 467,215.65 and 214,901.82

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Solution

The fourth proportional to 311,190.48, 467,215.65 and 214,901.82 is: 322,649.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,190.48 : 467,215.65 = 214,901.82 : x
  2. Step 2: Convert to fraction form
    311,190.48/467,215.65 = 214,901.82/x
  3. Step 3: Cross multiply
    311,190.48x = 467,215.65 × 214,901.82
  4. Step 4: Simplify right side
    311,190.48x = 100,405,493,517.48
  5. Step 5: Solve for x
    x = 100,405,493,517.48/311,190.48
  6. Step 6: Final answer
    x = 322,649.63

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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.