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Finding the Fourth Proportional to 325,734.56, 488,481.75 and 112,448.19

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Solution

The fourth proportional to 325,734.56, 488,481.75 and 112,448.19 is: 168,630.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,734.56 : 488,481.75 = 112,448.19 : x
  2. Step 2: Convert to fraction form
    325,734.56/488,481.75 = 112,448.19/x
  3. Step 3: Cross multiply
    325,734.56x = 488,481.75 × 112,448.19
  4. Step 4: Simplify right side
    325,734.56x = 54,928,888,635.53
  5. Step 5: Solve for x
    x = 54,928,888,635.53/325,734.56
  6. Step 6: Final answer
    x = 168,630.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.