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Finding the Fourth Proportional to 533,784.56, 800,566.20 and 196,737.92

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Solution

The fourth proportional to 533,784.56, 800,566.20 and 196,737.92 is: 295,066.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,784.56 : 800,566.20 = 196,737.92 : x
  2. Step 2: Convert to fraction form
    533,784.56/800,566.20 = 196,737.92/x
  3. Step 3: Cross multiply
    533,784.56x = 800,566.20 × 196,737.92
  4. Step 4: Simplify right side
    533,784.56x = 157,501,729,010.30
  5. Step 5: Solve for x
    x = 157,501,729,010.30/533,784.56
  6. Step 6: Final answer
    x = 295,066.10

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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.