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Finding the Fourth Proportional to 311,410.27, 426,943.15 and 305,735.01

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Solution

The fourth proportional to 311,410.27, 426,943.15 and 305,735.01 is: 419,162.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,410.27 : 426,943.15 = 305,735.01 : x
  2. Step 2: Convert to fraction form
    311,410.27/426,943.15 = 305,735.01/x
  3. Step 3: Cross multiply
    311,410.27x = 426,943.15 × 305,735.01
  4. Step 4: Simplify right side
    311,410.27x = 130,531,467,589.07
  5. Step 5: Solve for x
    x = 130,531,467,589.07/311,410.27
  6. Step 6: Final answer
    x = 419,162.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.