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Finding the Fourth Proportional to 412,057.20, 617,932.20 and 162,687.60

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Solution

The fourth proportional to 412,057.20, 617,932.20 and 162,687.60 is: 243,970.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,057.20 : 617,932.20 = 162,687.60 : x
  2. Step 2: Convert to fraction form
    412,057.20/617,932.20 = 162,687.60/x
  3. Step 3: Cross multiply
    412,057.20x = 617,932.20 × 162,687.60
  4. Step 4: Simplify right side
    412,057.20x = 100,529,906,580.72
  5. Step 5: Solve for x
    x = 100,529,906,580.72/412,057.20
  6. Step 6: Final answer
    x = 243,970.76

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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.