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Finding the Fourth Proportional to 311,787.39, 467,205.28 and 162,076.31

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Solution

The fourth proportional to 311,787.39, 467,205.28 and 162,076.31 is: 242,867.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,787.39 : 467,205.28 = 162,076.31 : x
  2. Step 2: Convert to fraction form
    311,787.39/467,205.28 = 162,076.31/x
  3. Step 3: Cross multiply
    311,787.39x = 467,205.28 × 162,076.31
  4. Step 4: Simplify right side
    311,787.39x = 75,722,907,794.92
  5. Step 5: Solve for x
    x = 75,722,907,794.92/311,787.39
  6. Step 6: Final answer
    x = 242,867.13

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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.