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Finding the Fourth Proportional to 365,283.76, 504,093.46 and 204,141.50

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Solution

The fourth proportional to 365,283.76, 504,093.46 and 204,141.50 is: 281,716.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,283.76 : 504,093.46 = 204,141.50 : x
  2. Step 2: Convert to fraction form
    365,283.76/504,093.46 = 204,141.50/x
  3. Step 3: Cross multiply
    365,283.76x = 504,093.46 × 204,141.50
  4. Step 4: Simplify right side
    365,283.76x = 102,906,395,064.59
  5. Step 5: Solve for x
    x = 102,906,395,064.59/365,283.76
  6. Step 6: Final answer
    x = 281,716.32

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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.