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Finding the Fourth Proportional to 536,959.13, 741,006.31 and 295,257.26

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Solution

The fourth proportional to 536,959.13, 741,006.31 and 295,257.26 is: 407,456.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,959.13 : 741,006.31 = 295,257.26 : x
  2. Step 2: Convert to fraction form
    536,959.13/741,006.31 = 295,257.26/x
  3. Step 3: Cross multiply
    536,959.13x = 741,006.31 × 295,257.26
  4. Step 4: Simplify right side
    536,959.13x = 218,787,493,847.68
  5. Step 5: Solve for x
    x = 218,787,493,847.68/536,959.13
  6. Step 6: Final answer
    x = 407,456.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.