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Finding the Fourth Proportional to 446,851.74, 669,900.02 and 193,941

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Solution

The fourth proportional to 446,851.74, 669,900.02 and 193,941 is: 290,747.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,851.74 : 669,900.02 = 193,941 : x
  2. Step 2: Convert to fraction form
    446,851.74/669,900.02 = 193,941/x
  3. Step 3: Cross multiply
    446,851.74x = 669,900.02 × 193,941
  4. Step 4: Simplify right side
    446,851.74x = 129,921,079,778.82
  5. Step 5: Solve for x
    x = 129,921,079,778.82/446,851.74
  6. Step 6: Final answer
    x = 290,747.62

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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.