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Finding the Fourth Proportional to 278,459.26, 384,182.31 and 157,588.54

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Solution

The fourth proportional to 278,459.26, 384,182.31 and 157,588.54 is: 217,420.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,459.26 : 384,182.31 = 157,588.54 : x
  2. Step 2: Convert to fraction form
    278,459.26/384,182.31 = 157,588.54/x
  3. Step 3: Cross multiply
    278,459.26x = 384,182.31 × 157,588.54
  4. Step 4: Simplify right side
    278,459.26x = 60,542,729,326.73
  5. Step 5: Solve for x
    x = 60,542,729,326.73/278,459.26
  6. Step 6: Final answer
    x = 217,420.42

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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.