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Finding the Fourth Proportional to 279,057.24, 384,448.14 and 194,026.68

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Solution

The fourth proportional to 279,057.24, 384,448.14 and 194,026.68 is: 267,304.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,057.24 : 384,448.14 = 194,026.68 : x
  2. Step 2: Convert to fraction form
    279,057.24/384,448.14 = 194,026.68/x
  3. Step 3: Cross multiply
    279,057.24x = 384,448.14 × 194,026.68
  4. Step 4: Simplify right side
    279,057.24x = 74,593,196,236.38
  5. Step 5: Solve for x
    x = 74,593,196,236.38/279,057.24
  6. Step 6: Final answer
    x = 267,304.29

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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.