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Finding the Fourth Proportional to 365,881.20, 504,939.48 and 204,754.80

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Solution

The fourth proportional to 365,881.20, 504,939.48 and 204,754.80 is: 282,574.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,881.20 : 504,939.48 = 204,754.80 : x
  2. Step 2: Convert to fraction form
    365,881.20/504,939.48 = 204,754.80/x
  3. Step 3: Cross multiply
    365,881.20x = 504,939.48 × 204,754.80
  4. Step 4: Simplify right side
    365,881.20x = 103,388,782,239.50
  5. Step 5: Solve for x
    x = 103,388,782,239.50/365,881.20
  6. Step 6: Final answer
    x = 282,574.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.