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Finding the Fourth Proportional to 533,266.80, 800,418.60 and 323,314.80

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Solution

The fourth proportional to 533,266.80, 800,418.60 and 323,314.80 is: 485,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,266.80 : 800,418.60 = 323,314.80 : x
  2. Step 2: Convert to fraction form
    533,266.80/800,418.60 = 323,314.80/x
  3. Step 3: Cross multiply
    533,266.80x = 800,418.60 × 323,314.80
  4. Step 4: Simplify right side
    533,266.80x = 258,787,179,575.28
  5. Step 5: Solve for x
    x = 258,787,179,575.28/533,266.80
  6. Step 6: Final answer
    x = 485,286.50

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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.