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Finding the Fourth Proportional to 400,204.96, 600,730.32 and 391,169.44

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Solution

The fourth proportional to 400,204.96, 600,730.32 and 391,169.44 is: 587,167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,204.96 : 600,730.32 = 391,169.44 : x
  2. Step 2: Convert to fraction form
    400,204.96/600,730.32 = 391,169.44/x
  3. Step 3: Cross multiply
    400,204.96x = 600,730.32 × 391,169.44
  4. Step 4: Simplify right side
    400,204.96x = 234,987,342,865.42
  5. Step 5: Solve for x
    x = 234,987,342,865.42/400,204.96
  6. Step 6: Final answer
    x = 587,167.49

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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.