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Finding the Fourth Proportional to 269,541.20, 404,311.80 and 217,053.20

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Solution

The fourth proportional to 269,541.20, 404,311.80 and 217,053.20 is: 325,579.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,541.20 : 404,311.80 = 217,053.20 : x
  2. Step 2: Convert to fraction form
    269,541.20/404,311.80 = 217,053.20/x
  3. Step 3: Cross multiply
    269,541.20x = 404,311.80 × 217,053.20
  4. Step 4: Simplify right side
    269,541.20x = 87,757,169,987.76
  5. Step 5: Solve for x
    x = 87,757,169,987.76/269,541.20
  6. Step 6: Final answer
    x = 325,579.80

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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.