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Finding the Fourth Proportional to 303,654.50, 419,043.24 and 169,518.50

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Solution

The fourth proportional to 303,654.50, 419,043.24 and 169,518.50 is: 233,935.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,654.50 : 419,043.24 = 169,518.50 : x
  2. Step 2: Convert to fraction form
    303,654.50/419,043.24 = 169,518.50/x
  3. Step 3: Cross multiply
    303,654.50x = 419,043.24 × 169,518.50
  4. Step 4: Simplify right side
    303,654.50x = 71,035,581,479.94
  5. Step 5: Solve for x
    x = 71,035,581,479.94/303,654.50
  6. Step 6: Final answer
    x = 233,935.55

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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.