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Finding the Fourth Proportional to 299,464.26, 413,257.86 and 163,497.03

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Solution

The fourth proportional to 299,464.26, 413,257.86 and 163,497.03 is: 225,624.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,464.26 : 413,257.86 = 163,497.03 : x
  2. Step 2: Convert to fraction form
    299,464.26/413,257.86 = 163,497.03/x
  3. Step 3: Cross multiply
    299,464.26x = 413,257.86 × 163,497.03
  4. Step 4: Simplify right side
    299,464.26x = 67,566,432,734.16
  5. Step 5: Solve for x
    x = 67,566,432,734.16/299,464.26
  6. Step 6: Final answer
    x = 225,624.36

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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.