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Finding the Fourth Proportional to 311,170.65, 466,517.62 and 97,815.13

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Solution

The fourth proportional to 311,170.65, 466,517.62 and 97,815.13 is: 146,647.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,170.65 : 466,517.62 = 97,815.13 : x
  2. Step 2: Convert to fraction form
    311,170.65/466,517.62 = 97,815.13/x
  3. Step 3: Cross multiply
    311,170.65x = 466,517.62 × 97,815.13
  4. Step 4: Simplify right side
    311,170.65x = 45,632,478,825.93
  5. Step 5: Solve for x
    x = 45,632,478,825.93/311,170.65
  6. Step 6: Final answer
    x = 146,647.76

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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.