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Finding the Fourth Proportional to 311,940.20, 467,910.30 and 238,212.20

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Solution

The fourth proportional to 311,940.20, 467,910.30 and 238,212.20 is: 357,318.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,940.20 : 467,910.30 = 238,212.20 : x
  2. Step 2: Convert to fraction form
    311,940.20/467,910.30 = 238,212.20/x
  3. Step 3: Cross multiply
    311,940.20x = 467,910.30 × 238,212.20
  4. Step 4: Simplify right side
    311,940.20x = 111,461,941,965.66
  5. Step 5: Solve for x
    x = 111,461,941,965.66/311,940.20
  6. Step 6: Final answer
    x = 357,318.30

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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.