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Finding the Fourth Proportional to 311,728.24, 467,799.48 and 114,736.24

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Solution

The fourth proportional to 311,728.24, 467,799.48 and 114,736.24 is: 172,180.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,728.24 : 467,799.48 = 114,736.24 : x
  2. Step 2: Convert to fraction form
    311,728.24/467,799.48 = 114,736.24/x
  3. Step 3: Cross multiply
    311,728.24x = 467,799.48 × 114,736.24
  4. Step 4: Simplify right side
    311,728.24x = 53,673,553,409.16
  5. Step 5: Solve for x
    x = 53,673,553,409.16/311,728.24
  6. Step 6: Final answer
    x = 172,180.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.