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Finding the Fourth Proportional to 321,841.52, 443,956.62 and 200,772.56

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Solution

The fourth proportional to 321,841.52, 443,956.62 and 200,772.56 is: 276,950.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,841.52 : 443,956.62 = 200,772.56 : x
  2. Step 2: Convert to fraction form
    321,841.52/443,956.62 = 200,772.56/x
  3. Step 3: Cross multiply
    321,841.52x = 443,956.62 × 200,772.56
  4. Step 4: Simplify right side
    321,841.52x = 89,134,307,126.35
  5. Step 5: Solve for x
    x = 89,134,307,126.35/321,841.52
  6. Step 6: Final answer
    x = 276,950.93

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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.