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Finding the Fourth Proportional to 299,891.81, 413,850.69 and 163,926.29

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Solution

The fourth proportional to 299,891.81, 413,850.69 and 163,926.29 is: 226,218.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,891.81 : 413,850.69 = 163,926.29 : x
  2. Step 2: Convert to fraction form
    299,891.81/413,850.69 = 163,926.29/x
  3. Step 3: Cross multiply
    299,891.81x = 413,850.69 × 163,926.29
  4. Step 4: Simplify right side
    299,891.81x = 67,841,006,156.39
  5. Step 5: Solve for x
    x = 67,841,006,156.39/299,891.81
  6. Step 6: Final answer
    x = 226,218.27

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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.