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Finding the Fourth Proportional to 299,467.40, 413,247.30 and 163,474.28

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Solution

The fourth proportional to 299,467.40, 413,247.30 and 163,474.28 is: 225,584.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,467.40 : 413,247.30 = 163,474.28 : x
  2. Step 2: Convert to fraction form
    299,467.40/413,247.30 = 163,474.28/x
  3. Step 3: Cross multiply
    299,467.40x = 413,247.30 × 163,474.28
  4. Step 4: Simplify right side
    299,467.40x = 67,555,304,829.44
  5. Step 5: Solve for x
    x = 67,555,304,829.44/299,467.40
  6. Step 6: Final answer
    x = 225,584.84

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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.