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Finding the Fourth Proportional to 221,406.40, 332,109.60 and 204,299.20

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Solution

The fourth proportional to 221,406.40, 332,109.60 and 204,299.20 is: 306,448.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,406.40 : 332,109.60 = 204,299.20 : x
  2. Step 2: Convert to fraction form
    221,406.40/332,109.60 = 204,299.20/x
  3. Step 3: Cross multiply
    221,406.40x = 332,109.60 × 204,299.20
  4. Step 4: Simplify right side
    221,406.40x = 67,849,725,592.32
  5. Step 5: Solve for x
    x = 67,849,725,592.32/221,406.40
  6. Step 6: Final answer
    x = 306,448.80

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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.