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Finding the Fourth Proportional to 533,816.20, 800,033.10 and 471,608.20

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Solution

The fourth proportional to 533,816.20, 800,033.10 and 471,608.20 is: 706,801.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,816.20 : 800,033.10 = 471,608.20 : x
  2. Step 2: Convert to fraction form
    533,816.20/800,033.10 = 471,608.20/x
  3. Step 3: Cross multiply
    533,816.20x = 800,033.10 × 471,608.20
  4. Step 4: Simplify right side
    533,816.20x = 377,302,170,231.42
  5. Step 5: Solve for x
    x = 377,302,170,231.42/533,816.20
  6. Step 6: Final answer
    x = 706,801.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.