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Finding the Fourth Proportional to 299,712.48, 413,631.84 and 163,767.11

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Solution

The fourth proportional to 299,712.48, 413,631.84 and 163,767.11 is: 226,014.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,712.48 : 413,631.84 = 163,767.11 : x
  2. Step 2: Convert to fraction form
    299,712.48/413,631.84 = 163,767.11/x
  3. Step 3: Cross multiply
    299,712.48x = 413,631.84 × 163,767.11
  4. Step 4: Simplify right side
    299,712.48x = 67,739,288,972.62
  5. Step 5: Solve for x
    x = 67,739,288,972.62/299,712.48
  6. Step 6: Final answer
    x = 226,014.24

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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.