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Finding the Fourth Proportional to 643,734.40, 965,601.60 and 408,121.60

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Solution

The fourth proportional to 643,734.40, 965,601.60 and 408,121.60 is: 612,182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,734.40 : 965,601.60 = 408,121.60 : x
  2. Step 2: Convert to fraction form
    643,734.40/965,601.60 = 408,121.60/x
  3. Step 3: Cross multiply
    643,734.40x = 965,601.60 × 408,121.60
  4. Step 4: Simplify right side
    643,734.40x = 394,082,869,954.56
  5. Step 5: Solve for x
    x = 394,082,869,954.56/643,734.40
  6. Step 6: Final answer
    x = 612,182.40

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1.5x scale

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.