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Finding the Fourth Proportional to 269,581.60, 404,113.20 and 209,576.80

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Solution

The fourth proportional to 269,581.60, 404,113.20 and 209,576.80 is: 314,163.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,581.60 : 404,113.20 = 209,576.80 : x
  2. Step 2: Convert to fraction form
    269,581.60/404,113.20 = 209,576.80/x
  3. Step 3: Cross multiply
    269,581.60x = 404,113.20 × 209,576.80
  4. Step 4: Simplify right side
    269,581.60x = 84,692,751,293.76
  5. Step 5: Solve for x
    x = 84,692,751,293.76/269,581.60
  6. Step 6: Final answer
    x = 314,163.69

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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.