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Finding the Fourth Proportional to 303,669.56, 419,175.82 and 182,816.48

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Solution

The fourth proportional to 303,669.56, 419,175.82 and 182,816.48 is: 252,354.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,669.56 : 419,175.82 = 182,816.48 : x
  2. Step 2: Convert to fraction form
    303,669.56/419,175.82 = 182,816.48/x
  3. Step 3: Cross multiply
    303,669.56x = 419,175.82 × 182,816.48
  4. Step 4: Simplify right side
    303,669.56x = 76,632,247,913.51
  5. Step 5: Solve for x
    x = 76,632,247,913.51/303,669.56
  6. Step 6: Final answer
    x = 252,354.07

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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.