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Finding the Fourth Proportional to 311,408.64, 467,311.59 and 111,724.59

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Solution

The fourth proportional to 311,408.64, 467,311.59 and 111,724.59 is: 167,658.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,408.64 : 467,311.59 = 111,724.59 : x
  2. Step 2: Convert to fraction form
    311,408.64/467,311.59 = 111,724.59/x
  3. Step 3: Cross multiply
    311,408.64x = 467,311.59 × 111,724.59
  4. Step 4: Simplify right side
    311,408.64x = 52,210,195,795.00
  5. Step 5: Solve for x
    x = 52,210,195,795.00/311,408.64
  6. Step 6: Final answer
    x = 167,658.15

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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.