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Finding the Fourth Proportional to 340,958.84, 511,327.60 and 161,016.44

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Solution

The fourth proportional to 340,958.84, 511,327.60 and 161,016.44 is: 241,472.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,958.84 : 511,327.60 = 161,016.44 : x
  2. Step 2: Convert to fraction form
    340,958.84/511,327.60 = 161,016.44/x
  3. Step 3: Cross multiply
    340,958.84x = 511,327.60 × 161,016.44
  4. Step 4: Simplify right side
    340,958.84x = 82,332,149,825.74
  5. Step 5: Solve for x
    x = 82,332,149,825.74/340,958.84
  6. Step 6: Final answer
    x = 241,472.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.