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Finding the Fourth Proportional to 352,771.86, 486,830.43 and 199,806.27

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Solution

The fourth proportional to 352,771.86, 486,830.43 and 199,806.27 is: 275,735.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,771.86 : 486,830.43 = 199,806.27 : x
  2. Step 2: Convert to fraction form
    352,771.86/486,830.43 = 199,806.27/x
  3. Step 3: Cross multiply
    352,771.86x = 486,830.43 × 199,806.27
  4. Step 4: Simplify right side
    352,771.86x = 97,271,772,340.80
  5. Step 5: Solve for x
    x = 97,271,772,340.80/352,771.86
  6. Step 6: Final answer
    x = 275,735.63

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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.