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Finding the Fourth Proportional to 411,351.20, 616,735.20 and 186,819.20

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Solution

The fourth proportional to 411,351.20, 616,735.20 and 186,819.20 is: 280,096.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,351.20 : 616,735.20 = 186,819.20 : x
  2. Step 2: Convert to fraction form
    411,351.20/616,735.20 = 186,819.20/x
  3. Step 3: Cross multiply
    411,351.20x = 616,735.20 × 186,819.20
  4. Step 4: Simplify right side
    411,351.20x = 115,217,976,675.84
  5. Step 5: Solve for x
    x = 115,217,976,675.84/411,351.20
  6. Step 6: Final answer
    x = 280,096.37

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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.