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Finding the Fourth Proportional to 493,033.08, 739,660.32 and 156,093.84

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Solution

The fourth proportional to 493,033.08, 739,660.32 and 156,093.84 is: 234,175.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,033.08 : 739,660.32 = 156,093.84 : x
  2. Step 2: Convert to fraction form
    493,033.08/739,660.32 = 156,093.84/x
  3. Step 3: Cross multiply
    493,033.08x = 739,660.32 × 156,093.84
  4. Step 4: Simplify right side
    493,033.08x = 115,456,419,644.43
  5. Step 5: Solve for x
    x = 115,456,419,644.43/493,033.08
  6. Step 6: Final answer
    x = 234,175.81

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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.