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Finding the Fourth Proportional to 643,393.28, 964,934.40 and 269,696

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Solution

The fourth proportional to 643,393.28, 964,934.40 and 269,696 is: 404,478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,393.28 : 964,934.40 = 269,696 : x
  2. Step 2: Convert to fraction form
    643,393.28/964,934.40 = 269,696/x
  3. Step 3: Cross multiply
    643,393.28x = 964,934.40 × 269,696
  4. Step 4: Simplify right side
    643,393.28x = 260,238,947,942.40
  5. Step 5: Solve for x
    x = 260,238,947,942.40/643,393.28
  6. Step 6: Final answer
    x = 404,478.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.