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Finding the Fourth Proportional to 303,677.91, 419,057.15 and 182,858.31

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Solution

The fourth proportional to 303,677.91, 419,057.15 and 182,858.31 is: 252,333.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,677.91 : 419,057.15 = 182,858.31 : x
  2. Step 2: Convert to fraction form
    303,677.91/419,057.15 = 182,858.31/x
  3. Step 3: Cross multiply
    303,677.91x = 419,057.15 × 182,858.31
  4. Step 4: Simplify right side
    303,677.91x = 76,628,081,328.13
  5. Step 5: Solve for x
    x = 76,628,081,328.13/303,677.91
  6. Step 6: Final answer
    x = 252,333.41

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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.