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Finding the Fourth Proportional to 329,171.40, 493,757.10 and 203,200.20

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Solution

The fourth proportional to 329,171.40, 493,757.10 and 203,200.20 is: 304,800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,171.40 : 493,757.10 = 203,200.20 : x
  2. Step 2: Convert to fraction form
    329,171.40/493,757.10 = 203,200.20/x
  3. Step 3: Cross multiply
    329,171.40x = 493,757.10 × 203,200.20
  4. Step 4: Simplify right side
    329,171.40x = 100,331,541,471.42
  5. Step 5: Solve for x
    x = 100,331,541,471.42/329,171.40
  6. Step 6: Final answer
    x = 304,800.30

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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.