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Finding the Fourth Proportional to 386,704.56, 580,033.44 and 229,930.68

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Solution

The fourth proportional to 386,704.56, 580,033.44 and 229,930.68 is: 344,882.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,704.56 : 580,033.44 = 229,930.68 : x
  2. Step 2: Convert to fraction form
    386,704.56/580,033.44 = 229,930.68/x
  3. Step 3: Cross multiply
    386,704.56x = 580,033.44 × 229,930.68
  4. Step 4: Simplify right side
    386,704.56x = 133,367,483,281.94
  5. Step 5: Solve for x
    x = 133,367,483,281.94/386,704.56
  6. Step 6: Final answer
    x = 344,882.11

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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.