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Finding the Fourth Proportional to 365,251.41, 504,046.12 and 204,106.47

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Solution

The fourth proportional to 365,251.41, 504,046.12 and 204,106.47 is: 281,666.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,251.41 : 504,046.12 = 204,106.47 : x
  2. Step 2: Convert to fraction form
    365,251.41/504,046.12 = 204,106.47/x
  3. Step 3: Cross multiply
    365,251.41x = 504,046.12 × 204,106.47
  4. Step 4: Simplify right side
    365,251.41x = 102,879,074,270.40
  5. Step 5: Solve for x
    x = 102,879,074,270.40/365,251.41
  6. Step 6: Final answer
    x = 281,666.47

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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.