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Finding the Fourth Proportional to 342,258.46, 472,127.07 and 199,002.66

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Solution

The fourth proportional to 342,258.46, 472,127.07 and 199,002.66 is: 274,513.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,258.46 : 472,127.07 = 199,002.66 : x
  2. Step 2: Convert to fraction form
    342,258.46/472,127.07 = 199,002.66/x
  3. Step 3: Cross multiply
    342,258.46x = 472,127.07 × 199,002.66
  4. Step 4: Simplify right side
    342,258.46x = 93,954,542,788.01
  5. Step 5: Solve for x
    x = 93,954,542,788.01/342,258.46
  6. Step 6: Final answer
    x = 274,513.43

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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.