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Finding the Fourth Proportional to 493,236.14, 739,410.12 and 177,471

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Solution

The fourth proportional to 493,236.14, 739,410.12 and 177,471 is: 266,046.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,236.14 : 739,410.12 = 177,471 : x
  2. Step 2: Convert to fraction form
    493,236.14/739,410.12 = 177,471/x
  3. Step 3: Cross multiply
    493,236.14x = 739,410.12 × 177,471
  4. Step 4: Simplify right side
    493,236.14x = 131,223,853,406.52
  5. Step 5: Solve for x
    x = 131,223,853,406.52/493,236.14
  6. Step 6: Final answer
    x = 266,046.71

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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.