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Finding the Fourth Proportional to 408,049.40, 612,074.10 and 219,092.60

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Solution

The fourth proportional to 408,049.40, 612,074.10 and 219,092.60 is: 328,638.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,049.40 : 612,074.10 = 219,092.60 : x
  2. Step 2: Convert to fraction form
    408,049.40/612,074.10 = 219,092.60/x
  3. Step 3: Cross multiply
    408,049.40x = 612,074.10 × 219,092.60
  4. Step 4: Simplify right side
    408,049.40x = 134,100,905,961.66
  5. Step 5: Solve for x
    x = 134,100,905,961.66/408,049.40
  6. Step 6: Final answer
    x = 328,638.90

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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.