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Finding the Fourth Proportional to 269,543.20, 404,314.80 and 217,055.20

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Solution

The fourth proportional to 269,543.20, 404,314.80 and 217,055.20 is: 325,582.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,543.20 : 404,314.80 = 217,055.20 : x
  2. Step 2: Convert to fraction form
    269,543.20/404,314.80 = 217,055.20/x
  3. Step 3: Cross multiply
    269,543.20x = 404,314.80 × 217,055.20
  4. Step 4: Simplify right side
    269,543.20x = 87,758,629,776.96
  5. Step 5: Solve for x
    x = 87,758,629,776.96/269,543.20
  6. Step 6: Final answer
    x = 325,582.80

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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.