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Finding the Fourth Proportional to 340,956.84, 511,324.60 and 161,014.44

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Solution

The fourth proportional to 340,956.84, 511,324.60 and 161,014.44 is: 241,469.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,956.84 : 511,324.60 = 161,014.44 : x
  2. Step 2: Convert to fraction form
    340,956.84/511,324.60 = 161,014.44/x
  3. Step 3: Cross multiply
    340,956.84x = 511,324.60 × 161,014.44
  4. Step 4: Simplify right side
    340,956.84x = 82,330,644,127.22
  5. Step 5: Solve for x
    x = 82,330,644,127.22/340,956.84
  6. Step 6: Final answer
    x = 241,469.40

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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.