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Finding the Fourth Proportional to 433,219.72, 649,435.92 and 196,433.24

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Solution

The fourth proportional to 433,219.72, 649,435.92 and 196,433.24 is: 294,471.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,219.72 : 649,435.92 = 196,433.24 : x
  2. Step 2: Convert to fraction form
    433,219.72/649,435.92 = 196,433.24/x
  3. Step 3: Cross multiply
    433,219.72x = 649,435.92 × 196,433.24
  4. Step 4: Simplify right side
    433,219.72x = 127,570,801,937.98
  5. Step 5: Solve for x
    x = 127,570,801,937.98/433,219.72
  6. Step 6: Final answer
    x = 294,471.36

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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.