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Finding the Fourth Proportional to 305,593.25, 421,745.38 and 178,309.85

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Solution

The fourth proportional to 305,593.25, 421,745.38 and 178,309.85 is: 246,083.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,593.25 : 421,745.38 = 178,309.85 : x
  2. Step 2: Convert to fraction form
    305,593.25/421,745.38 = 178,309.85/x
  3. Step 3: Cross multiply
    305,593.25x = 421,745.38 × 178,309.85
  4. Step 4: Simplify right side
    305,593.25x = 75,201,355,608.81
  5. Step 5: Solve for x
    x = 75,201,355,608.81/305,593.25
  6. Step 6: Final answer
    x = 246,083.17

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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.