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Finding the Fourth Proportional to 378,163.44, 567,350.40 and 164,950

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Solution

The fourth proportional to 378,163.44, 567,350.40 and 164,950 is: 247,470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,163.44 : 567,350.40 = 164,950 : x
  2. Step 2: Convert to fraction form
    378,163.44/567,350.40 = 164,950/x
  3. Step 3: Cross multiply
    378,163.44x = 567,350.40 × 164,950
  4. Step 4: Simplify right side
    378,163.44x = 93,584,448,480
  5. Step 5: Solve for x
    x = 93,584,448,480/378,163.44
  6. Step 6: Final answer
    x = 247,470.90

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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.