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Finding the Fourth Proportional to 278,040.36, 384,014.52 and 182,971.44

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Solution

The fourth proportional to 278,040.36, 384,014.52 and 182,971.44 is: 252,710.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,040.36 : 384,014.52 = 182,971.44 : x
  2. Step 2: Convert to fraction form
    278,040.36/384,014.52 = 182,971.44/x
  3. Step 3: Cross multiply
    278,040.36x = 384,014.52 × 182,971.44
  4. Step 4: Simplify right side
    278,040.36x = 70,263,689,705.31
  5. Step 5: Solve for x
    x = 70,263,689,705.31/278,040.36
  6. Step 6: Final answer
    x = 252,710.40

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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.