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Finding the Fourth Proportional to 446,642.57, 669,587.11 and 193,732.56

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Solution

The fourth proportional to 446,642.57, 669,587.11 and 193,732.56 is: 290,435.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,642.57 : 669,587.11 = 193,732.56 : x
  2. Step 2: Convert to fraction form
    446,642.57/669,587.11 = 193,732.56/x
  3. Step 3: Cross multiply
    446,642.57x = 669,587.11 × 193,732.56
  4. Step 4: Simplify right side
    446,642.57x = 129,720,824,478.97
  5. Step 5: Solve for x
    x = 129,720,824,478.97/446,642.57
  6. Step 6: Final answer
    x = 290,435.42

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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.