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Finding the Fourth Proportional to 311,850.72, 467,698.24 and 122,349.60

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Solution

The fourth proportional to 311,850.72, 467,698.24 and 122,349.60 is: 183,493.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,850.72 : 467,698.24 = 122,349.60 : x
  2. Step 2: Convert to fraction form
    311,850.72/467,698.24 = 122,349.60/x
  3. Step 3: Cross multiply
    311,850.72x = 467,698.24 × 122,349.60
  4. Step 4: Simplify right side
    311,850.72x = 57,222,692,584.70
  5. Step 5: Solve for x
    x = 57,222,692,584.70/311,850.72
  6. Step 6: Final answer
    x = 183,493.86

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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.