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Finding the Fourth Proportional to 358,076.76, 494,158.34 and 196,944

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Solution

The fourth proportional to 358,076.76, 494,158.34 and 196,944 is: 271,789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,076.76 : 494,158.34 = 196,944 : x
  2. Step 2: Convert to fraction form
    358,076.76/494,158.34 = 196,944/x
  3. Step 3: Cross multiply
    358,076.76x = 494,158.34 × 196,944
  4. Step 4: Simplify right side
    358,076.76x = 97,321,520,112.96
  5. Step 5: Solve for x
    x = 97,321,520,112.96/358,076.76
  6. Step 6: Final answer
    x = 271,789.55

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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.