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Finding the Fourth Proportional to 332,684.46, 498,694.14 and 119,394.42

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Solution

The fourth proportional to 332,684.46, 498,694.14 and 119,394.42 is: 178,972.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,684.46 : 498,694.14 = 119,394.42 : x
  2. Step 2: Convert to fraction form
    332,684.46/498,694.14 = 119,394.42/x
  3. Step 3: Cross multiply
    332,684.46x = 498,694.14 × 119,394.42
  4. Step 4: Simplify right side
    332,684.46x = 59,541,297,602.70
  5. Step 5: Solve for x
    x = 59,541,297,602.70/332,684.46
  6. Step 6: Final answer
    x = 178,972.28

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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.