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Finding the Fourth Proportional to 299,494.72, 413,304.73 and 163,529.62

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Solution

The fourth proportional to 299,494.72, 413,304.73 and 163,529.62 is: 225,671.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,494.72 : 413,304.73 = 163,529.62 : x
  2. Step 2: Convert to fraction form
    299,494.72/413,304.73 = 163,529.62/x
  3. Step 3: Cross multiply
    299,494.72x = 413,304.73 × 163,529.62
  4. Step 4: Simplify right side
    299,494.72x = 67,587,563,999.02
  5. Step 5: Solve for x
    x = 67,587,563,999.02/299,494.72
  6. Step 6: Final answer
    x = 225,671.97

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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.