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Finding the Fourth Proportional to 342,739.60, 472,866.18 and 199,469.26

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Solution

The fourth proportional to 342,739.60, 472,866.18 and 199,469.26 is: 275,200.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,739.60 : 472,866.18 = 199,469.26 : x
  2. Step 2: Convert to fraction form
    342,739.60/472,866.18 = 199,469.26/x
  3. Step 3: Cross multiply
    342,739.60x = 472,866.18 × 199,469.26
  4. Step 4: Simplify right side
    342,739.60x = 94,322,267,003.63
  5. Step 5: Solve for x
    x = 94,322,267,003.63/342,739.60
  6. Step 6: Final answer
    x = 275,200.96

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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.