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Finding the Fourth Proportional to 446,591.50, 669,886.21 and 193,839.24

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Solution

The fourth proportional to 446,591.50, 669,886.21 and 193,839.24 is: 290,758.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,591.50 : 669,886.21 = 193,839.24 : x
  2. Step 2: Convert to fraction form
    446,591.50/669,886.21 = 193,839.24/x
  3. Step 3: Cross multiply
    446,591.50x = 669,886.21 × 193,839.24
  4. Step 4: Simplify right side
    446,591.50x = 129,850,233,832.88
  5. Step 5: Solve for x
    x = 129,850,233,832.88/446,591.50
  6. Step 6: Final answer
    x = 290,758.41

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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.