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Finding the Fourth Proportional to 378,029.78, 566,847.75 and 178,296.52

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Solution

The fourth proportional to 378,029.78, 566,847.75 and 178,296.52 is: 267,351.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,029.78 : 566,847.75 = 178,296.52 : x
  2. Step 2: Convert to fraction form
    378,029.78/566,847.75 = 178,296.52/x
  3. Step 3: Cross multiply
    378,029.78x = 566,847.75 × 178,296.52
  4. Step 4: Simplify right side
    378,029.78x = 101,066,978,360.59
  5. Step 5: Solve for x
    x = 101,066,978,360.59/378,029.78
  6. Step 6: Final answer
    x = 267,351.90

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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.