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Finding the Fourth Proportional to 664,295.80, 996,540.90 and 214,940.20

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Solution

The fourth proportional to 664,295.80, 996,540.90 and 214,940.20 is: 322,441.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,295.80 : 996,540.90 = 214,940.20 : x
  2. Step 2: Convert to fraction form
    664,295.80/996,540.90 = 214,940.20/x
  3. Step 3: Cross multiply
    664,295.80x = 996,540.90 × 214,940.20
  4. Step 4: Simplify right side
    664,295.80x = 214,196,700,354.18
  5. Step 5: Solve for x
    x = 214,196,700,354.18/664,295.80
  6. Step 6: Final answer
    x = 322,441.75

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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.