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Finding the Fourth Proportional to 221,462.40, 332,193.60 and 204,355.20

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Solution

The fourth proportional to 221,462.40, 332,193.60 and 204,355.20 is: 306,532.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,462.40 : 332,193.60 = 204,355.20 : x
  2. Step 2: Convert to fraction form
    221,462.40/332,193.60 = 204,355.20/x
  3. Step 3: Cross multiply
    221,462.40x = 332,193.60 × 204,355.20
  4. Step 4: Simplify right side
    221,462.40x = 67,885,489,566.72
  5. Step 5: Solve for x
    x = 67,885,489,566.72/221,462.40
  6. Step 6: Final answer
    x = 306,532.80

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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.