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Finding the Fourth Proportional to 299,922.89, 413,894.40 and 163,958.46

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Solution

The fourth proportional to 299,922.89, 413,894.40 and 163,958.46 is: 226,263.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,922.89 : 413,894.40 = 163,958.46 : x
  2. Step 2: Convert to fraction form
    299,922.89/413,894.40 = 163,958.46/x
  3. Step 3: Cross multiply
    299,922.89x = 413,894.40 × 163,958.46
  4. Step 4: Simplify right side
    299,922.89x = 67,861,488,426.62
  5. Step 5: Solve for x
    x = 67,861,488,426.62/299,922.89
  6. Step 6: Final answer
    x = 226,263.12

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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.