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Finding the Fourth Proportional to 365,964.89, 505,031.46 and 204,819.92

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Solution

The fourth proportional to 365,964.89, 505,031.46 and 204,819.92 is: 282,651.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,964.89 : 505,031.46 = 204,819.92 : x
  2. Step 2: Convert to fraction form
    365,964.89/505,031.46 = 204,819.92/x
  3. Step 3: Cross multiply
    365,964.89x = 505,031.46 × 204,819.92
  4. Step 4: Simplify right side
    365,964.89x = 103,440,504,497.26
  5. Step 5: Solve for x
    x = 103,440,504,497.26/365,964.89
  6. Step 6: Final answer
    x = 282,651.45

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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.