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Finding the Fourth Proportional to 342,198.36, 472,262.94 and 198,949.32

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Solution

The fourth proportional to 342,198.36, 472,262.94 and 198,949.32 is: 274,567.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,198.36 : 472,262.94 = 198,949.32 : x
  2. Step 2: Convert to fraction form
    342,198.36/472,262.94 = 198,949.32/x
  3. Step 3: Cross multiply
    342,198.36x = 472,262.94 × 198,949.32
  4. Step 4: Simplify right side
    342,198.36x = 93,956,390,774.20
  5. Step 5: Solve for x
    x = 93,956,390,774.20/342,198.36
  6. Step 6: Final answer
    x = 274,567.04

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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.