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Finding the Fourth Proportional to 446,599.52, 669,898.26 and 193,847.25

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Solution

The fourth proportional to 446,599.52, 669,898.26 and 193,847.25 is: 290,770.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,599.52 : 669,898.26 = 193,847.25 : x
  2. Step 2: Convert to fraction form
    446,599.52/669,898.26 = 193,847.25/x
  3. Step 3: Cross multiply
    446,599.52x = 669,898.26 × 193,847.25
  4. Step 4: Simplify right side
    446,599.52x = 129,857,936,381.41
  5. Step 5: Solve for x
    x = 129,857,936,381.41/446,599.52
  6. Step 6: Final answer
    x = 290,770.43

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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.