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Finding the Fourth Proportional to 446,648.54, 669,596 and 193,738.62

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Solution

The fourth proportional to 446,648.54, 669,596 and 193,738.62 is: 290,444.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,648.54 : 669,596 = 193,738.62 : x
  2. Step 2: Convert to fraction form
    446,648.54/669,596 = 193,738.62/x
  3. Step 3: Cross multiply
    446,648.54x = 669,596 × 193,738.62
  4. Step 4: Simplify right side
    446,648.54x = 129,726,604,997.52
  5. Step 5: Solve for x
    x = 129,726,604,997.52/446,648.54
  6. Step 6: Final answer
    x = 290,444.48

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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.