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Finding the Fourth Proportional to 278,430.14, 384,212.30 and 163,713.44

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Solution

The fourth proportional to 278,430.14, 384,212.30 and 163,713.44 is: 225,912.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,430.14 : 384,212.30 = 163,713.44 : x
  2. Step 2: Convert to fraction form
    278,430.14/384,212.30 = 163,713.44/x
  3. Step 3: Cross multiply
    278,430.14x = 384,212.30 × 163,713.44
  4. Step 4: Simplify right side
    278,430.14x = 62,900,717,323.31
  5. Step 5: Solve for x
    x = 62,900,717,323.31/278,430.14
  6. Step 6: Final answer
    x = 225,912.03

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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.