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Finding the Fourth Proportional to 275,360.43, 412,965.42 and 75,633.33

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Solution

The fourth proportional to 275,360.43, 412,965.42 and 75,633.33 is: 113,429.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,360.43 : 412,965.42 = 75,633.33 : x
  2. Step 2: Convert to fraction form
    275,360.43/412,965.42 = 75,633.33/x
  3. Step 3: Cross multiply
    275,360.43x = 412,965.42 × 75,633.33
  4. Step 4: Simplify right side
    275,360.43x = 31,233,949,889.45
  5. Step 5: Solve for x
    x = 31,233,949,889.45/275,360.43
  6. Step 6: Final answer
    x = 113,429.33

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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.