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Finding the Fourth Proportional to 311,850.20, 466,978.26 and 171,454.52

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Solution

The fourth proportional to 311,850.20, 466,978.26 and 171,454.52 is: 256,743.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,850.20 : 466,978.26 = 171,454.52 : x
  2. Step 2: Convert to fraction form
    311,850.20/466,978.26 = 171,454.52/x
  3. Step 3: Cross multiply
    311,850.20x = 466,978.26 × 171,454.52
  4. Step 4: Simplify right side
    311,850.20x = 80,065,533,418.74
  5. Step 5: Solve for x
    x = 80,065,533,418.74/311,850.20
  6. Step 6: Final answer
    x = 256,743.57

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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.