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Finding the Fourth Proportional to 269,594.60, 404,132.70 and 209,589.80

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Solution

The fourth proportional to 269,594.60, 404,132.70 and 209,589.80 is: 314,183.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,594.60 : 404,132.70 = 209,589.80 : x
  2. Step 2: Convert to fraction form
    269,594.60/404,132.70 = 209,589.80/x
  3. Step 3: Cross multiply
    269,594.60x = 404,132.70 × 209,589.80
  4. Step 4: Simplify right side
    269,594.60x = 84,702,091,766.46
  5. Step 5: Solve for x
    x = 84,702,091,766.46/269,594.60
  6. Step 6: Final answer
    x = 314,183.19

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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.