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Finding the Fourth Proportional to 305,202.57, 421,093.64 and 240,471.14

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Solution

The fourth proportional to 305,202.57, 421,093.64 and 240,471.14 is: 331,782.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,202.57 : 421,093.64 = 240,471.14 : x
  2. Step 2: Convert to fraction form
    305,202.57/421,093.64 = 240,471.14/x
  3. Step 3: Cross multiply
    305,202.57x = 421,093.64 × 240,471.14
  4. Step 4: Simplify right side
    305,202.57x = 101,260,864,349.73
  5. Step 5: Solve for x
    x = 101,260,864,349.73/305,202.57
  6. Step 6: Final answer
    x = 331,782.48

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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.