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Finding the Fourth Proportional to 311,747.64, 467,684.78 and 98,548.85

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Solution

The fourth proportional to 311,747.64, 467,684.78 and 98,548.85 is: 147,843.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,747.64 : 467,684.78 = 98,548.85 : x
  2. Step 2: Convert to fraction form
    311,747.64/467,684.78 = 98,548.85/x
  3. Step 3: Cross multiply
    311,747.64x = 467,684.78 × 98,548.85
  4. Step 4: Simplify right side
    311,747.64x = 46,089,797,231.50
  5. Step 5: Solve for x
    x = 46,089,797,231.50/311,747.64
  6. Step 6: Final answer
    x = 147,843.29

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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.