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Finding the Fourth Proportional to 733,978.80, 1,100,703.87 and 254,076.21

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Solution

The fourth proportional to 733,978.80, 1,100,703.87 and 254,076.21 is: 381,022.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,978.80 : 1,100,703.87 = 254,076.21 : x
  2. Step 2: Convert to fraction form
    733,978.80/1,100,703.87 = 254,076.21/x
  3. Step 3: Cross multiply
    733,978.80x = 1,100,703.87 × 254,076.21
  4. Step 4: Simplify right side
    733,978.80x = 279,662,667,621.93
  5. Step 5: Solve for x
    x = 279,662,667,621.93/733,978.80
  6. Step 6: Final answer
    x = 381,022.81

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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.