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Finding the Fourth Proportional to 269,609.10, 404,154.45 and 209,604.30

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Solution

The fourth proportional to 269,609.10, 404,154.45 and 209,604.30 is: 314,204.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,609.10 : 404,154.45 = 209,604.30 : x
  2. Step 2: Convert to fraction form
    269,609.10/404,154.45 = 209,604.30/x
  3. Step 3: Cross multiply
    269,609.10x = 404,154.45 × 209,604.30
  4. Step 4: Simplify right side
    269,609.10x = 84,712,510,584.14
  5. Step 5: Solve for x
    x = 84,712,510,584.14/269,609.10
  6. Step 6: Final answer
    x = 314,204.94

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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.