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Finding the Fourth Proportional to 413,039.64, 619,491.42 and 132,520.44

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Solution

The fourth proportional to 413,039.64, 619,491.42 and 132,520.44 is: 198,758.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,039.64 : 619,491.42 = 132,520.44 : x
  2. Step 2: Convert to fraction form
    413,039.64/619,491.42 = 132,520.44/x
  3. Step 3: Cross multiply
    413,039.64x = 619,491.42 × 132,520.44
  4. Step 4: Simplify right side
    413,039.64x = 82,095,275,554.62
  5. Step 5: Solve for x
    x = 82,095,275,554.62/413,039.64
  6. Step 6: Final answer
    x = 198,758.83

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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.