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Finding the Fourth Proportional to 299,910.92, 413,876.13 and 163,944.91

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Solution

The fourth proportional to 299,910.92, 413,876.13 and 163,944.91 is: 226,243.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,910.92 : 413,876.13 = 163,944.91 : x
  2. Step 2: Convert to fraction form
    299,910.92/413,876.13 = 163,944.91/x
  3. Step 3: Cross multiply
    299,910.92x = 413,876.13 × 163,944.91
  4. Step 4: Simplify right side
    299,910.92x = 67,852,885,708.74
  5. Step 5: Solve for x
    x = 67,852,885,708.74/299,910.92
  6. Step 6: Final answer
    x = 226,243.46

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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.