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Finding the Fourth Proportional to 378,029.28, 566,847 and 178,296.02

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Solution

The fourth proportional to 378,029.28, 566,847 and 178,296.02 is: 267,351.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,029.28 : 566,847 = 178,296.02 : x
  2. Step 2: Convert to fraction form
    378,029.28/566,847 = 178,296.02/x
  3. Step 3: Cross multiply
    378,029.28x = 566,847 × 178,296.02
  4. Step 4: Simplify right side
    378,029.28x = 101,066,561,214.71
  5. Step 5: Solve for x
    x = 101,066,561,214.71/378,029.28
  6. Step 6: Final answer
    x = 267,351.15

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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.