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Finding the Fourth Proportional to 442,462.40, 664,039.20 and 205,834.40

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Solution

The fourth proportional to 442,462.40, 664,039.20 and 205,834.40 is: 308,912.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,462.40 : 664,039.20 = 205,834.40 : x
  2. Step 2: Convert to fraction form
    442,462.40/664,039.20 = 205,834.40/x
  3. Step 3: Cross multiply
    442,462.40x = 664,039.20 × 205,834.40
  4. Step 4: Simplify right side
    442,462.40x = 136,682,110,308.48
  5. Step 5: Solve for x
    x = 136,682,110,308.48/442,462.40
  6. Step 6: Final answer
    x = 308,912.37

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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.