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Finding the Fourth Proportional to 299,778.27, 413,695.11 and 163,812.23

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Solution

The fourth proportional to 299,778.27, 413,695.11 and 163,812.23 is: 226,061.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,778.27 : 413,695.11 = 163,812.23 : x
  2. Step 2: Convert to fraction form
    299,778.27/413,695.11 = 163,812.23/x
  3. Step 3: Cross multiply
    299,778.27x = 413,695.11 × 163,812.23
  4. Step 4: Simplify right side
    299,778.27x = 67,768,319,543.43
  5. Step 5: Solve for x
    x = 67,768,319,543.43/299,778.27
  6. Step 6: Final answer
    x = 226,061.48

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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.