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Finding the Fourth Proportional to 408,094.60, 612,141.90 and 221,470.60

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Solution

The fourth proportional to 408,094.60, 612,141.90 and 221,470.60 is: 332,205.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,094.60 : 612,141.90 = 221,470.60 : x
  2. Step 2: Convert to fraction form
    408,094.60/612,141.90 = 221,470.60/x
  3. Step 3: Cross multiply
    408,094.60x = 612,141.90 × 221,470.60
  4. Step 4: Simplify right side
    408,094.60x = 135,571,433,878.14
  5. Step 5: Solve for x
    x = 135,571,433,878.14/408,094.60
  6. Step 6: Final answer
    x = 332,205.90

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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.