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Finding the Fourth Proportional to 378,033.40, 567,179.70 and 167,822.20

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Solution

The fourth proportional to 378,033.40, 567,179.70 and 167,822.20 is: 251,790.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,033.40 : 567,179.70 = 167,822.20 : x
  2. Step 2: Convert to fraction form
    378,033.40/567,179.70 = 167,822.20/x
  3. Step 3: Cross multiply
    378,033.40x = 567,179.70 × 167,822.20
  4. Step 4: Simplify right side
    378,033.40x = 95,185,345,049.34
  5. Step 5: Solve for x
    x = 95,185,345,049.34/378,033.40
  6. Step 6: Final answer
    x = 251,790.83

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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.