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Finding the Fourth Proportional to 278,407.56, 384,202.24 and 157,546.65

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Solution

The fourth proportional to 278,407.56, 384,202.24 and 157,546.65 is: 217,414.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,407.56 : 384,202.24 = 157,546.65 : x
  2. Step 2: Convert to fraction form
    278,407.56/384,202.24 = 157,546.65/x
  3. Step 3: Cross multiply
    278,407.56x = 384,202.24 × 157,546.65
  4. Step 4: Simplify right side
    278,407.56x = 60,529,776,881.39
  5. Step 5: Solve for x
    x = 60,529,776,881.39/278,407.56
  6. Step 6: Final answer
    x = 217,414.27

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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.