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Finding the Fourth Proportional to 332,591, 498,890.82 and 110,975

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Solution

The fourth proportional to 332,591, 498,890.82 and 110,975 is: 166,463.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,591 : 498,890.82 = 110,975 : x
  2. Step 2: Convert to fraction form
    332,591/498,890.82 = 110,975/x
  3. Step 3: Cross multiply
    332,591x = 498,890.82 × 110,975
  4. Step 4: Simplify right side
    332,591x = 55,364,408,749.50
  5. Step 5: Solve for x
    x = 55,364,408,749.50/332,591
  6. Step 6: Final answer
    x = 166,463.94

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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.