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Finding the Fourth Proportional to 449,633.40, 674,352.90 and 196,913.40

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Solution

The fourth proportional to 449,633.40, 674,352.90 and 196,913.40 is: 295,327.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,633.40 : 674,352.90 = 196,913.40 : x
  2. Step 2: Convert to fraction form
    449,633.40/674,352.90 = 196,913.40/x
  3. Step 3: Cross multiply
    449,633.40x = 674,352.90 × 196,913.40
  4. Step 4: Simplify right side
    449,633.40x = 132,789,122,338.86
  5. Step 5: Solve for x
    x = 132,789,122,338.86/449,633.40
  6. Step 6: Final answer
    x = 295,327.53

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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.