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Finding the Fourth Proportional to 299,960.39, 413,945.57 and 163,992.17

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Solution

The fourth proportional to 299,960.39, 413,945.57 and 163,992.17 is: 226,309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,960.39 : 413,945.57 = 163,992.17 : x
  2. Step 2: Convert to fraction form
    299,960.39/413,945.57 = 163,992.17/x
  3. Step 3: Cross multiply
    299,960.39x = 413,945.57 × 163,992.17
  4. Step 4: Simplify right side
    299,960.39x = 67,883,832,286.19
  5. Step 5: Solve for x
    x = 67,883,832,286.19/299,960.39
  6. Step 6: Final answer
    x = 226,309.32

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1.5x scale

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.