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Finding the Fourth Proportional to 533,851.44, 800,978.04 and 277,524.24

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Solution

The fourth proportional to 533,851.44, 800,978.04 and 277,524.24 is: 416,390.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,851.44 : 800,978.04 = 277,524.24 : x
  2. Step 2: Convert to fraction form
    533,851.44/800,978.04 = 277,524.24/x
  3. Step 3: Cross multiply
    533,851.44x = 800,978.04 × 277,524.24
  4. Step 4: Simplify right side
    533,851.44x = 222,290,821,807.69
  5. Step 5: Solve for x
    x = 222,290,821,807.69/533,851.44
  6. Step 6: Final answer
    x = 416,390.79

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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.