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Finding the Fourth Proportional to 332,342.82, 497,639.43 and 198,906.66

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Solution

The fourth proportional to 332,342.82, 497,639.43 and 198,906.66 is: 297,836.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,342.82 : 497,639.43 = 198,906.66 : x
  2. Step 2: Convert to fraction form
    332,342.82/497,639.43 = 198,906.66/x
  3. Step 3: Cross multiply
    332,342.82x = 497,639.43 × 198,906.66
  4. Step 4: Simplify right side
    332,342.82x = 98,983,796,905.60
  5. Step 5: Solve for x
    x = 98,983,796,905.60/332,342.82
  6. Step 6: Final answer
    x = 297,836.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.