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Finding the Fourth Proportional to 278,638.72, 384,525.89 and 157,776.73

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Solution

The fourth proportional to 278,638.72, 384,525.89 and 157,776.73 is: 217,734.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,638.72 : 384,525.89 = 157,776.73 : x
  2. Step 2: Convert to fraction form
    278,638.72/384,525.89 = 157,776.73/x
  3. Step 3: Cross multiply
    278,638.72x = 384,525.89 × 157,776.73
  4. Step 4: Simplify right side
    278,638.72x = 60,669,236,735.66
  5. Step 5: Solve for x
    x = 60,669,236,735.66/278,638.72
  6. Step 6: Final answer
    x = 217,734.41

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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.