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Finding the Fourth Proportional to 311,147.97, 466,794.15 and 97,910.35

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Solution

The fourth proportional to 311,147.97, 466,794.15 and 97,910.35 is: 146,888.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,147.97 : 466,794.15 = 97,910.35 : x
  2. Step 2: Convert to fraction form
    311,147.97/466,794.15 = 97,910.35/x
  3. Step 3: Cross multiply
    311,147.97x = 466,794.15 × 97,910.35
  4. Step 4: Simplify right side
    311,147.97x = 45,703,978,604.45
  5. Step 5: Solve for x
    x = 45,703,978,604.45/311,147.97
  6. Step 6: Final answer
    x = 146,888.24

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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.