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Finding the Fourth Proportional to 271,995.20, 407,992.80 and 209,787.20

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Solution

The fourth proportional to 271,995.20, 407,992.80 and 209,787.20 is: 314,680.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,995.20 : 407,992.80 = 209,787.20 : x
  2. Step 2: Convert to fraction form
    271,995.20/407,992.80 = 209,787.20/x
  3. Step 3: Cross multiply
    271,995.20x = 407,992.80 × 209,787.20
  4. Step 4: Simplify right side
    271,995.20x = 85,591,667,132.16
  5. Step 5: Solve for x
    x = 85,591,667,132.16/271,995.20
  6. Step 6: Final answer
    x = 314,680.80

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1.5x scale

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.