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Finding the Fourth Proportional to 311,213.30, 466,768.47 and 111,504.02

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Solution

The fourth proportional to 311,213.30, 466,768.47 and 111,504.02 is: 167,237.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,213.30 : 466,768.47 = 111,504.02 : x
  2. Step 2: Convert to fraction form
    311,213.30/466,768.47 = 111,504.02/x
  3. Step 3: Cross multiply
    311,213.30x = 466,768.47 × 111,504.02
  4. Step 4: Simplify right side
    311,213.30x = 52,046,560,814.25
  5. Step 5: Solve for x
    x = 52,046,560,814.25/311,213.30
  6. Step 6: Final answer
    x = 167,237.59

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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.