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Finding the Fourth Proportional to 299,568, 413,407.16 and 163,605.96

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Solution

The fourth proportional to 299,568, 413,407.16 and 163,605.96 is: 225,778.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,568 : 413,407.16 = 163,605.96 : x
  2. Step 2: Convert to fraction form
    299,568/413,407.16 = 163,605.96/x
  3. Step 3: Cross multiply
    299,568x = 413,407.16 × 163,605.96
  4. Step 4: Simplify right side
    299,568x = 67,635,874,464.64
  5. Step 5: Solve for x
    x = 67,635,874,464.64/299,568
  6. Step 6: Final answer
    x = 225,778.04

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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.