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Finding the Fourth Proportional to 379,163.86, 523,346.97 and 235,842.46

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Solution

The fourth proportional to 379,163.86, 523,346.97 and 235,842.46 is: 325,525.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,163.86 : 523,346.97 = 235,842.46 : x
  2. Step 2: Convert to fraction form
    379,163.86/523,346.97 = 235,842.46/x
  3. Step 3: Cross multiply
    379,163.86x = 523,346.97 × 235,842.46
  4. Step 4: Simplify right side
    379,163.86x = 123,427,436,414.39
  5. Step 5: Solve for x
    x = 123,427,436,414.39/379,163.86
  6. Step 6: Final answer
    x = 325,525.32

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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.