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Finding the Fourth Proportional to 305,593.50, 421,745.72 and 178,310.10

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Solution

The fourth proportional to 305,593.50, 421,745.72 and 178,310.10 is: 246,083.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,593.50 : 421,745.72 = 178,310.10 : x
  2. Step 2: Convert to fraction form
    305,593.50/421,745.72 = 178,310.10/x
  3. Step 3: Cross multiply
    305,593.50x = 421,745.72 × 178,310.10
  4. Step 4: Simplify right side
    305,593.50x = 75,201,521,507.77
  5. Step 5: Solve for x
    x = 75,201,521,507.77/305,593.50
  6. Step 6: Final answer
    x = 246,083.51

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