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Finding the Fourth Proportional to 330,856.20, 496,745.10 and 206,440.20

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Solution

The fourth proportional to 330,856.20, 496,745.10 and 206,440.20 is: 309,947.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,856.20 : 496,745.10 = 206,440.20 : x
  2. Step 2: Convert to fraction form
    330,856.20/496,745.10 = 206,440.20/x
  3. Step 3: Cross multiply
    330,856.20x = 496,745.10 × 206,440.20
  4. Step 4: Simplify right side
    330,856.20x = 102,548,157,793.02
  5. Step 5: Solve for x
    x = 102,548,157,793.02/330,856.20
  6. Step 6: Final answer
    x = 309,947.82

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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.