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Finding the Fourth Proportional to 442,857.40, 664,286.10 and 301,139.80

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Solution

The fourth proportional to 442,857.40, 664,286.10 and 301,139.80 is: 451,709.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,857.40 : 664,286.10 = 301,139.80 : x
  2. Step 2: Convert to fraction form
    442,857.40/664,286.10 = 301,139.80/x
  3. Step 3: Cross multiply
    442,857.40x = 664,286.10 × 301,139.80
  4. Step 4: Simplify right side
    442,857.40x = 200,042,983,296.78
  5. Step 5: Solve for x
    x = 200,042,983,296.78/442,857.40
  6. Step 6: Final answer
    x = 451,709.70

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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.