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Finding the Fourth Proportional to 533,958.80, 799,771.80 and 414,694.40

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Solution

The fourth proportional to 533,958.80, 799,771.80 and 414,694.40 is: 621,135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,958.80 : 799,771.80 = 414,694.40 : x
  2. Step 2: Convert to fraction form
    533,958.80/799,771.80 = 414,694.40/x
  3. Step 3: Cross multiply
    533,958.80x = 799,771.80 × 414,694.40
  4. Step 4: Simplify right side
    533,958.80x = 331,660,886,737.92
  5. Step 5: Solve for x
    x = 331,660,886,737.92/533,958.80
  6. Step 6: Final answer
    x = 621,135.73

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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.