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Finding the Fourth Proportional to 299,924.40, 413,896.49 and 163,959.96

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Solution

The fourth proportional to 299,924.40, 413,896.49 and 163,959.96 is: 226,265.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,924.40 : 413,896.49 = 163,959.96 : x
  2. Step 2: Convert to fraction form
    299,924.40/413,896.49 = 163,959.96/x
  3. Step 3: Cross multiply
    299,924.40x = 413,896.49 × 163,959.96
  4. Step 4: Simplify right side
    299,924.40x = 67,862,451,124.74
  5. Step 5: Solve for x
    x = 67,862,451,124.74/299,924.40
  6. Step 6: Final answer
    x = 226,265.19

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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.