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Finding the Fourth Proportional to 269,801.60, 404,443.20 and 209,796.80

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Solution

The fourth proportional to 269,801.60, 404,443.20 and 209,796.80 is: 314,493.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,801.60 : 404,443.20 = 209,796.80 : x
  2. Step 2: Convert to fraction form
    269,801.60/404,443.20 = 209,796.80/x
  3. Step 3: Cross multiply
    269,801.60x = 404,443.20 × 209,796.80
  4. Step 4: Simplify right side
    269,801.60x = 84,850,889,141.76
  5. Step 5: Solve for x
    x = 84,850,889,141.76/269,801.60
  6. Step 6: Final answer
    x = 314,493.65

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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.