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Finding the Fourth Proportional to 303,904.50, 419,388.22 and 169,768.50

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Solution

The fourth proportional to 303,904.50, 419,388.22 and 169,768.50 is: 234,280.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,904.50 : 419,388.22 = 169,768.50 : x
  2. Step 2: Convert to fraction form
    303,904.50/419,388.22 = 169,768.50/x
  3. Step 3: Cross multiply
    303,904.50x = 419,388.22 × 169,768.50
  4. Step 4: Simplify right side
    303,904.50x = 71,198,909,027.07
  5. Step 5: Solve for x
    x = 71,198,909,027.07/303,904.50
  6. Step 6: Final answer
    x = 234,280.54

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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.