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Finding the Fourth Proportional to 271,576.62, 407,358.72 and 159,964.83

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Solution

The fourth proportional to 271,576.62, 407,358.72 and 159,964.83 is: 239,943.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,576.62 : 407,358.72 = 159,964.83 : x
  2. Step 2: Convert to fraction form
    271,576.62/407,358.72 = 159,964.83/x
  3. Step 3: Cross multiply
    271,576.62x = 407,358.72 × 159,964.83
  4. Step 4: Simplify right side
    271,576.62x = 65,163,068,393.82
  5. Step 5: Solve for x
    x = 65,163,068,393.82/271,576.62
  6. Step 6: Final answer
    x = 239,943.59

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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.