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Finding the Fourth Proportional to 350,667, 483,920.46 and 199,764

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Solution

The fourth proportional to 350,667, 483,920.46 and 199,764 is: 275,674.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,667 : 483,920.46 = 199,764 : x
  2. Step 2: Convert to fraction form
    350,667/483,920.46 = 199,764/x
  3. Step 3: Cross multiply
    350,667x = 483,920.46 × 199,764
  4. Step 4: Simplify right side
    350,667x = 96,669,886,771.44
  5. Step 5: Solve for x
    x = 96,669,886,771.44/350,667
  6. Step 6: Final answer
    x = 275,674.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.