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Finding the Fourth Proportional to 350,668, 483,921.84 and 199,765

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Solution

The fourth proportional to 350,668, 483,921.84 and 199,765 is: 275,675.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,668 : 483,921.84 = 199,765 : x
  2. Step 2: Convert to fraction form
    350,668/483,921.84 = 199,765/x
  3. Step 3: Cross multiply
    350,668x = 483,921.84 × 199,765
  4. Step 4: Simplify right side
    350,668x = 96,670,646,367.60
  5. Step 5: Solve for x
    x = 96,670,646,367.60/350,668
  6. Step 6: Final answer
    x = 275,675.70

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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.