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Finding the Fourth Proportional to 493,201.44, 680,620.32 and 278,350.56

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Solution

The fourth proportional to 493,201.44, 680,620.32 and 278,350.56 is: 384,125.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,201.44 : 680,620.32 = 278,350.56 : x
  2. Step 2: Convert to fraction form
    493,201.44/680,620.32 = 278,350.56/x
  3. Step 3: Cross multiply
    493,201.44x = 680,620.32 × 278,350.56
  4. Step 4: Simplify right side
    493,201.44x = 189,451,047,219.38
  5. Step 5: Solve for x
    x = 189,451,047,219.38/493,201.44
  6. Step 6: Final answer
    x = 384,125.09

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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.