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Finding the Fourth Proportional to 342,213.44, 472,246.34 and 199,023.26

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Solution

The fourth proportional to 342,213.44, 472,246.34 and 199,023.26 is: 274,647.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,213.44 : 472,246.34 = 199,023.26 : x
  2. Step 2: Convert to fraction form
    342,213.44/472,246.34 = 199,023.26/x
  3. Step 3: Cross multiply
    342,213.44x = 472,246.34 × 199,023.26
  4. Step 4: Simplify right side
    342,213.44x = 93,988,006,109.87
  5. Step 5: Solve for x
    x = 93,988,006,109.87/342,213.44
  6. Step 6: Final answer
    x = 274,647.33

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