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Finding the Fourth Proportional to 299,546.46, 413,358.70 and 163,554.21

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Solution

The fourth proportional to 299,546.46, 413,358.70 and 163,554.21 is: 225,696.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,546.46 : 413,358.70 = 163,554.21 : x
  2. Step 2: Convert to fraction form
    299,546.46/413,358.70 = 163,554.21/x
  3. Step 3: Cross multiply
    299,546.46x = 413,358.70 × 163,554.21
  4. Step 4: Simplify right side
    299,546.46x = 67,606,555,625.13
  5. Step 5: Solve for x
    x = 67,606,555,625.13/299,546.46
  6. Step 6: Final answer
    x = 225,696.39

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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.