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Finding the Fourth Proportional to 533,414.40, 800,121.60 and 449,433.60

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Solution

The fourth proportional to 533,414.40, 800,121.60 and 449,433.60 is: 674,150.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,414.40 : 800,121.60 = 449,433.60 : x
  2. Step 2: Convert to fraction form
    533,414.40/800,121.60 = 449,433.60/x
  3. Step 3: Cross multiply
    533,414.40x = 800,121.60 × 449,433.60
  4. Step 4: Simplify right side
    533,414.40x = 359,601,531,125.76
  5. Step 5: Solve for x
    x = 359,601,531,125.76/533,414.40
  6. Step 6: Final answer
    x = 674,150.40

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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.