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Finding the Fourth Proportional to 408,429.60, 612,644.40 and 221,805.60

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Solution

The fourth proportional to 408,429.60, 612,644.40 and 221,805.60 is: 332,708.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,429.60 : 612,644.40 = 221,805.60 : x
  2. Step 2: Convert to fraction form
    408,429.60/612,644.40 = 221,805.60/x
  3. Step 3: Cross multiply
    408,429.60x = 612,644.40 × 221,805.60
  4. Step 4: Simplify right side
    408,429.60x = 135,887,958,728.64
  5. Step 5: Solve for x
    x = 135,887,958,728.64/408,429.60
  6. Step 6: Final answer
    x = 332,708.40

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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.