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Finding the Fourth Proportional to 299,469.39, 413,256.90 and 163,500.83

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Solution

The fourth proportional to 299,469.39, 413,256.90 and 163,500.83 is: 225,625.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,469.39 : 413,256.90 = 163,500.83 : x
  2. Step 2: Convert to fraction form
    299,469.39/413,256.90 = 163,500.83/x
  3. Step 3: Cross multiply
    299,469.39x = 413,256.90 × 163,500.83
  4. Step 4: Simplify right side
    299,469.39x = 67,567,846,153.23
  5. Step 5: Solve for x
    x = 67,567,846,153.23/299,469.39
  6. Step 6: Final answer
    x = 225,625.22

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1.5x scale

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.