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Finding the Fourth Proportional to 311,022.65, 466,608 and 100,660.59

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Solution

The fourth proportional to 311,022.65, 466,608 and 100,660.59 is: 151,014.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,022.65 : 466,608 = 100,660.59 : x
  2. Step 2: Convert to fraction form
    311,022.65/466,608 = 100,660.59/x
  3. Step 3: Cross multiply
    311,022.65x = 466,608 × 100,660.59
  4. Step 4: Simplify right side
    311,022.65x = 46,969,034,245.68
  5. Step 5: Solve for x
    x = 46,969,034,245.68/311,022.65
  6. Step 6: Final answer
    x = 151,014.84

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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.