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Finding the Fourth Proportional to 299,468.39, 413,255.52 and 163,499.83

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Solution

The fourth proportional to 299,468.39, 413,255.52 and 163,499.83 is: 225,623.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,468.39 : 413,255.52 = 163,499.83 : x
  2. Step 2: Convert to fraction form
    299,468.39/413,255.52 = 163,499.83/x
  3. Step 3: Cross multiply
    299,468.39x = 413,255.52 × 163,499.83
  4. Step 4: Simplify right side
    299,468.39x = 67,567,206,233.42
  5. Step 5: Solve for x
    x = 67,567,206,233.42/299,468.39
  6. Step 6: Final answer
    x = 225,623.84

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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.