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Finding the Fourth Proportional to 533,884.24, 800,268.40 and 178,606

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Solution

The fourth proportional to 533,884.24, 800,268.40 and 178,606 is: 267,722.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,884.24 : 800,268.40 = 178,606 : x
  2. Step 2: Convert to fraction form
    533,884.24/800,268.40 = 178,606/x
  3. Step 3: Cross multiply
    533,884.24x = 800,268.40 × 178,606
  4. Step 4: Simplify right side
    533,884.24x = 142,932,737,850.40
  5. Step 5: Solve for x
    x = 142,932,737,850.40/533,884.24
  6. Step 6: Final answer
    x = 267,722.34

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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.