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Finding the Fourth Proportional to 342,198.43, 472,269.30 and 197,009.37

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Solution

The fourth proportional to 342,198.43, 472,269.30 and 197,009.37 is: 271,893.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,198.43 : 472,269.30 = 197,009.37 : x
  2. Step 2: Convert to fraction form
    342,198.43/472,269.30 = 197,009.37/x
  3. Step 3: Cross multiply
    342,198.43x = 472,269.30 × 197,009.37
  4. Step 4: Simplify right side
    342,198.43x = 93,041,477,632.73
  5. Step 5: Solve for x
    x = 93,041,477,632.73/342,198.43
  6. Step 6: Final answer
    x = 271,893.35

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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.