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Finding the Fourth Proportional to 311,874.66, 467,810.94 and 75,217.32

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Solution

The fourth proportional to 311,874.66, 467,810.94 and 75,217.32 is: 112,825.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,874.66 : 467,810.94 = 75,217.32 : x
  2. Step 2: Convert to fraction form
    311,874.66/467,810.94 = 75,217.32/x
  3. Step 3: Cross multiply
    311,874.66x = 467,810.94 × 75,217.32
  4. Step 4: Simplify right side
    311,874.66x = 35,187,485,173.48
  5. Step 5: Solve for x
    x = 35,187,485,173.48/311,874.66
  6. Step 6: Final answer
    x = 112,825.73

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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.