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Finding the Fourth Proportional to 299,546.10, 413,358.19 and 163,553.82

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Solution

The fourth proportional to 299,546.10, 413,358.19 and 163,553.82 is: 225,695.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,546.10 : 413,358.19 = 163,553.82 : x
  2. Step 2: Convert to fraction form
    299,546.10/413,358.19 = 163,553.82/x
  3. Step 3: Cross multiply
    299,546.10x = 413,358.19 × 163,553.82
  4. Step 4: Simplify right side
    299,546.10x = 67,606,309,043.81
  5. Step 5: Solve for x
    x = 67,606,309,043.81/299,546.10
  6. Step 6: Final answer
    x = 225,695.84

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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.