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Finding the Fourth Proportional to 303,964.48, 419,462.40 and 169,828.48

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Solution

The fourth proportional to 303,964.48, 419,462.40 and 169,828.48 is: 234,358.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,964.48 : 419,462.40 = 169,828.48 : x
  2. Step 2: Convert to fraction form
    303,964.48/419,462.40 = 169,828.48/x
  3. Step 3: Cross multiply
    303,964.48x = 419,462.40 × 169,828.48
  4. Step 4: Simplify right side
    303,964.48x = 71,236,661,809.15
  5. Step 5: Solve for x
    x = 71,236,661,809.15/303,964.48
  6. Step 6: Final answer
    x = 234,358.51

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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.