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Finding the Fourth Proportional to 265,231.43, 397,843.25 and 65,551.84

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Solution

The fourth proportional to 265,231.43, 397,843.25 and 65,551.84 is: 98,326.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,231.43 : 397,843.25 = 65,551.84 : x
  2. Step 2: Convert to fraction form
    265,231.43/397,843.25 = 65,551.84/x
  3. Step 3: Cross multiply
    265,231.43x = 397,843.25 × 65,551.84
  4. Step 4: Simplify right side
    265,231.43x = 26,079,355,992.53
  5. Step 5: Solve for x
    x = 26,079,355,992.53/265,231.43
  6. Step 6: Final answer
    x = 98,326.79

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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.