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Finding the Fourth Proportional to 492,892.14, 680,211.83 and 278,032.15

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Solution

The fourth proportional to 492,892.14, 680,211.83 and 278,032.15 is: 383,696.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,892.14 : 680,211.83 = 278,032.15 : x
  2. Step 2: Convert to fraction form
    492,892.14/680,211.83 = 278,032.15/x
  3. Step 3: Cross multiply
    492,892.14x = 680,211.83 × 278,032.15
  4. Step 4: Simplify right side
    492,892.14x = 189,120,753,705.56
  5. Step 5: Solve for x
    x = 189,120,753,705.56/492,892.14
  6. Step 6: Final answer
    x = 383,696.02

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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.