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Finding the Fourth Proportional to 299,921.38, 413,892.33 and 163,956.96

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Solution

The fourth proportional to 299,921.38, 413,892.33 and 163,956.96 is: 226,261.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,921.38 : 413,892.33 = 163,956.96 : x
  2. Step 2: Convert to fraction form
    299,921.38/413,892.33 = 163,956.96/x
  3. Step 3: Cross multiply
    299,921.38x = 413,892.33 × 163,956.96
  4. Step 4: Simplify right side
    299,921.38x = 67,860,528,501.54
  5. Step 5: Solve for x
    x = 67,860,528,501.54/299,921.38
  6. Step 6: Final answer
    x = 226,261.05

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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.