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Finding the Fourth Proportional to 311,544.82, 467,319.30 and 111,867.04

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Solution

The fourth proportional to 311,544.82, 467,319.30 and 111,867.04 is: 167,801.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,544.82 : 467,319.30 = 111,867.04 : x
  2. Step 2: Convert to fraction form
    311,544.82/467,319.30 = 111,867.04/x
  3. Step 3: Cross multiply
    311,544.82x = 467,319.30 × 111,867.04
  4. Step 4: Simplify right side
    311,544.82x = 52,277,626,825.87
  5. Step 5: Solve for x
    x = 52,277,626,825.87/311,544.82
  6. Step 6: Final answer
    x = 167,801.30

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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.