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Finding the Fourth Proportional to 299,909.20, 413,885.84 and 163,952.20

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Solution

The fourth proportional to 299,909.20, 413,885.84 and 163,952.20 is: 226,260.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,909.20 : 413,885.84 = 163,952.20 : x
  2. Step 2: Convert to fraction form
    299,909.20/413,885.84 = 163,952.20/x
  3. Step 3: Cross multiply
    299,909.20x = 413,885.84 × 163,952.20
  4. Step 4: Simplify right side
    299,909.20x = 67,857,494,016.85
  5. Step 5: Solve for x
    x = 67,857,494,016.85/299,909.20
  6. Step 6: Final answer
    x = 226,260.13

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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.