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Finding the Fourth Proportional to 311,914.20, 467,871.30 and 171,946.20

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Solution

The fourth proportional to 311,914.20, 467,871.30 and 171,946.20 is: 257,919.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,914.20 : 467,871.30 = 171,946.20 : x
  2. Step 2: Convert to fraction form
    311,914.20/467,871.30 = 171,946.20/x
  3. Step 3: Cross multiply
    311,914.20x = 467,871.30 × 171,946.20
  4. Step 4: Simplify right side
    311,914.20x = 80,448,692,124.06
  5. Step 5: Solve for x
    x = 80,448,692,124.06/311,914.20
  6. Step 6: Final answer
    x = 257,919.30

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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.