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Finding the Fourth Proportional to 274,643.44, 378,942.60 and 167,212.24

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Solution

The fourth proportional to 274,643.44, 378,942.60 and 167,212.24 is: 230,713.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,643.44 : 378,942.60 = 167,212.24 : x
  2. Step 2: Convert to fraction form
    274,643.44/378,942.60 = 167,212.24/x
  3. Step 3: Cross multiply
    274,643.44x = 378,942.60 × 167,212.24
  4. Step 4: Simplify right side
    274,643.44x = 63,363,840,977.42
  5. Step 5: Solve for x
    x = 63,363,840,977.42/274,643.44
  6. Step 6: Final answer
    x = 230,713.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.