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Finding the Fourth Proportional to 299,961.39, 413,946.95 and 163,993.17

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Solution

The fourth proportional to 299,961.39, 413,946.95 and 163,993.17 is: 226,310.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,961.39 : 413,946.95 = 163,993.17 : x
  2. Step 2: Convert to fraction form
    299,961.39/413,946.95 = 163,993.17/x
  3. Step 3: Cross multiply
    299,961.39x = 413,946.95 × 163,993.17
  4. Step 4: Simplify right side
    299,961.39x = 67,884,472,542.33
  5. Step 5: Solve for x
    x = 67,884,472,542.33/299,961.39
  6. Step 6: Final answer
    x = 226,310.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.