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Finding the Fourth Proportional to 269,452.60, 403,919.70 and 209,447.80

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Solution

The fourth proportional to 269,452.60, 403,919.70 and 209,447.80 is: 313,970.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,452.60 : 403,919.70 = 209,447.80 : x
  2. Step 2: Convert to fraction form
    269,452.60/403,919.70 = 209,447.80/x
  3. Step 3: Cross multiply
    269,452.60x = 403,919.70 × 209,447.80
  4. Step 4: Simplify right side
    269,452.60x = 84,600,092,541.66
  5. Step 5: Solve for x
    x = 84,600,092,541.66/269,452.60
  6. Step 6: Final answer
    x = 313,970.22

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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.