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Finding the Fourth Proportional to 311,907.06, 467,856.26 and 75,247.74

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Solution

The fourth proportional to 311,907.06, 467,856.26 and 75,247.74 is: 112,870.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,907.06 : 467,856.26 = 75,247.74 : x
  2. Step 2: Convert to fraction form
    311,907.06/467,856.26 = 75,247.74/x
  3. Step 3: Cross multiply
    311,907.06x = 467,856.26 × 75,247.74
  4. Step 4: Simplify right side
    311,907.06x = 35,205,126,209.85
  5. Step 5: Solve for x
    x = 35,205,126,209.85/311,907.06
  6. Step 6: Final answer
    x = 112,870.57

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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.