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Finding the Fourth Proportional to 311,213.17, 467,213.42 and 264,761.29

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Solution

The fourth proportional to 311,213.17, 467,213.42 and 264,761.29 is: 397,476.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,213.17 : 467,213.42 = 264,761.29 : x
  2. Step 2: Convert to fraction form
    311,213.17/467,213.42 = 264,761.29/x
  3. Step 3: Cross multiply
    311,213.17x = 467,213.42 × 264,761.29
  4. Step 4: Simplify right side
    311,213.17x = 123,700,027,784.51
  5. Step 5: Solve for x
    x = 123,700,027,784.51/311,213.17
  6. Step 6: Final answer
    x = 397,476.84

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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.