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Finding the Fourth Proportional to 303,928.22, 419,429.32 and 167,970.98

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Solution

The fourth proportional to 303,928.22, 419,429.32 and 167,970.98 is: 231,804.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,928.22 : 419,429.32 = 167,970.98 : x
  2. Step 2: Convert to fraction form
    303,928.22/419,429.32 = 167,970.98/x
  3. Step 3: Cross multiply
    303,928.22x = 419,429.32 × 167,970.98
  4. Step 4: Simplify right side
    303,928.22x = 70,451,951,404.06
  5. Step 5: Solve for x
    x = 70,451,951,404.06/303,928.22
  6. Step 6: Final answer
    x = 231,804.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.