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Finding the Fourth Proportional to 311,942.70, 467,914.05 and 238,214.70

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Solution

The fourth proportional to 311,942.70, 467,914.05 and 238,214.70 is: 357,322.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,942.70 : 467,914.05 = 238,214.70 : x
  2. Step 2: Convert to fraction form
    311,942.70/467,914.05 = 238,214.70/x
  3. Step 3: Cross multiply
    311,942.70x = 467,914.05 × 238,214.70
  4. Step 4: Simplify right side
    311,942.70x = 111,464,005,046.54
  5. Step 5: Solve for x
    x = 111,464,005,046.54/311,942.70
  6. Step 6: Final answer
    x = 357,322.05

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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.