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Finding the Fourth Proportional to 299,301.55, 413,044.85 and 163,344.24

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Solution

The fourth proportional to 299,301.55, 413,044.85 and 163,344.24 is: 225,419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,301.55 : 413,044.85 = 163,344.24 : x
  2. Step 2: Convert to fraction form
    299,301.55/413,044.85 = 163,344.24/x
  3. Step 3: Cross multiply
    299,301.55x = 413,044.85 × 163,344.24
  4. Step 4: Simplify right side
    299,301.55x = 67,468,496,292.44
  5. Step 5: Solve for x
    x = 67,468,496,292.44/299,301.55
  6. Step 6: Final answer
    x = 225,419.80

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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.