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Finding the Fourth Proportional to 221,490.40, 332,235.60 and 204,383.20

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Solution

The fourth proportional to 221,490.40, 332,235.60 and 204,383.20 is: 306,574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,490.40 : 332,235.60 = 204,383.20 : x
  2. Step 2: Convert to fraction form
    221,490.40/332,235.60 = 204,383.20/x
  3. Step 3: Cross multiply
    221,490.40x = 332,235.60 × 204,383.20
  4. Step 4: Simplify right side
    221,490.40x = 67,903,375,081.92
  5. Step 5: Solve for x
    x = 67,903,375,081.92/221,490.40
  6. Step 6: Final answer
    x = 306,574.80

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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.