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Finding the Fourth Proportional to 441,732.70, 662,453.25 and 142,141.65

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Solution

The fourth proportional to 441,732.70, 662,453.25 and 142,141.65 is: 213,165.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,732.70 : 662,453.25 = 142,141.65 : x
  2. Step 2: Convert to fraction form
    441,732.70/662,453.25 = 142,141.65/x
  3. Step 3: Cross multiply
    441,732.70x = 662,453.25 × 142,141.65
  4. Step 4: Simplify right side
    441,732.70x = 94,162,198,002.86
  5. Step 5: Solve for x
    x = 94,162,198,002.86/441,732.70
  6. Step 6: Final answer
    x = 213,165.56

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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.