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Finding the Fourth Proportional to 311,201.76, 466,768.62 and 100,783.20

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Solution

The fourth proportional to 311,201.76, 466,768.62 and 100,783.20 is: 151,163.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,201.76 : 466,768.62 = 100,783.20 : x
  2. Step 2: Convert to fraction form
    311,201.76/466,768.62 = 100,783.20/x
  3. Step 3: Cross multiply
    311,201.76x = 466,768.62 × 100,783.20
  4. Step 4: Simplify right side
    311,201.76x = 47,042,435,183.18
  5. Step 5: Solve for x
    x = 47,042,435,183.18/311,201.76
  6. Step 6: Final answer
    x = 151,163.78

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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.