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Finding the Fourth Proportional to 274,580.46, 378,952.83 and 167,213.34

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Solution

The fourth proportional to 274,580.46, 378,952.83 and 167,213.34 is: 230,773.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,580.46 : 378,952.83 = 167,213.34 : x
  2. Step 2: Convert to fraction form
    274,580.46/378,952.83 = 167,213.34/x
  3. Step 3: Cross multiply
    274,580.46x = 378,952.83 × 167,213.34
  4. Step 4: Simplify right side
    274,580.46x = 63,365,968,406.75
  5. Step 5: Solve for x
    x = 63,365,968,406.75/274,580.46
  6. Step 6: Final answer
    x = 230,773.77

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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.