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Finding the Fourth Proportional to 365,319.84, 504,139.52 and 204,174.80

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Solution

The fourth proportional to 365,319.84, 504,139.52 and 204,174.80 is: 281,760.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,319.84 : 504,139.52 = 204,174.80 : x
  2. Step 2: Convert to fraction form
    365,319.84/504,139.52 = 204,174.80/x
  3. Step 3: Cross multiply
    365,319.84x = 504,139.52 × 204,174.80
  4. Step 4: Simplify right side
    365,319.84x = 102,932,585,668.10
  5. Step 5: Solve for x
    x = 102,932,585,668.10/365,319.84
  6. Step 6: Final answer
    x = 281,760.18

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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.