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Finding the Fourth Proportional to 269,204.20, 403,460.70 and 206,564.20

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Solution

The fourth proportional to 269,204.20, 403,460.70 and 206,564.20 is: 309,581.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,204.20 : 403,460.70 = 206,564.20 : x
  2. Step 2: Convert to fraction form
    269,204.20/403,460.70 = 206,564.20/x
  3. Step 3: Cross multiply
    269,204.20x = 403,460.70 × 206,564.20
  4. Step 4: Simplify right side
    269,204.20x = 83,340,536,726.94
  5. Step 5: Solve for x
    x = 83,340,536,726.94/269,204.20
  6. Step 6: Final answer
    x = 309,581.12

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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.