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Finding the Fourth Proportional to 269,512.60, 404,009.70 and 209,507.80

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Solution

The fourth proportional to 269,512.60, 404,009.70 and 209,507.80 is: 314,060.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,512.60 : 404,009.70 = 209,507.80 : x
  2. Step 2: Convert to fraction form
    269,512.60/404,009.70 = 209,507.80/x
  3. Step 3: Cross multiply
    269,512.60x = 404,009.70 × 209,507.80
  4. Step 4: Simplify right side
    269,512.60x = 84,643,183,425.66
  5. Step 5: Solve for x
    x = 84,643,183,425.66/269,512.60
  6. Step 6: Final answer
    x = 314,060.21

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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.