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Finding the Fourth Proportional to 311,904.80, 467,852.88 and 75,245.48

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Solution

The fourth proportional to 311,904.80, 467,852.88 and 75,245.48 is: 112,867.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,904.80 : 467,852.88 = 75,245.48 : x
  2. Step 2: Convert to fraction form
    311,904.80/467,852.88 = 75,245.48/x
  3. Step 3: Cross multiply
    311,904.80x = 467,852.88 × 75,245.48
  4. Step 4: Simplify right side
    311,904.80x = 35,203,814,524.98
  5. Step 5: Solve for x
    x = 35,203,814,524.98/311,904.80
  6. Step 6: Final answer
    x = 112,867.18

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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.