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Finding the Fourth Proportional to 493,022.57, 680,371.80 and 278,182.62

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Solution

The fourth proportional to 493,022.57, 680,371.80 and 278,182.62 is: 383,892.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,022.57 : 680,371.80 = 278,182.62 : x
  2. Step 2: Convert to fraction form
    493,022.57/680,371.80 = 278,182.62/x
  3. Step 3: Cross multiply
    493,022.57x = 680,371.80 × 278,182.62
  4. Step 4: Simplify right side
    493,022.57x = 189,267,610,974.69
  5. Step 5: Solve for x
    x = 189,267,610,974.69/493,022.57
  6. Step 6: Final answer
    x = 383,892.39

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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.