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Finding the Fourth Proportional to 378,403.94, 567,396.75 and 150,468.68

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Solution

The fourth proportional to 378,403.94, 567,396.75 and 150,468.68 is: 225,619.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,403.94 : 567,396.75 = 150,468.68 : x
  2. Step 2: Convert to fraction form
    378,403.94/567,396.75 = 150,468.68/x
  3. Step 3: Cross multiply
    378,403.94x = 567,396.75 × 150,468.68
  4. Step 4: Simplify right side
    378,403.94x = 85,375,440,008.79
  5. Step 5: Solve for x
    x = 85,375,440,008.79/378,403.94
  6. Step 6: Final answer
    x = 225,619.85

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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.