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Finding the Fourth Proportional to 386,805.48, 580,195.36 and 159,093.24

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Solution

The fourth proportional to 386,805.48, 580,195.36 and 159,093.24 is: 238,634.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,805.48 : 580,195.36 = 159,093.24 : x
  2. Step 2: Convert to fraction form
    386,805.48/580,195.36 = 159,093.24/x
  3. Step 3: Cross multiply
    386,805.48x = 580,195.36 × 159,093.24
  4. Step 4: Simplify right side
    386,805.48x = 92,305,159,655.37
  5. Step 5: Solve for x
    x = 92,305,159,655.37/386,805.48
  6. Step 6: Final answer
    x = 238,634.57

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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.