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Finding the Fourth Proportional to 305,233.44, 421,248.78 and 177,906.30

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Solution

The fourth proportional to 305,233.44, 421,248.78 and 177,906.30 is: 245,526.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,233.44 : 421,248.78 = 177,906.30 : x
  2. Step 2: Convert to fraction form
    305,233.44/421,248.78 = 177,906.30/x
  3. Step 3: Cross multiply
    305,233.44x = 421,248.78 × 177,906.30
  4. Step 4: Simplify right side
    305,233.44x = 74,942,811,829.31
  5. Step 5: Solve for x
    x = 74,942,811,829.31/305,233.44
  6. Step 6: Final answer
    x = 245,526.22

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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.