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Finding the Fourth Proportional to 365,405.80, 504,262.74 and 204,267.40

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Solution

The fourth proportional to 365,405.80, 504,262.74 and 204,267.40 is: 281,890.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,405.80 : 504,262.74 = 204,267.40 : x
  2. Step 2: Convert to fraction form
    365,405.80/504,262.74 = 204,267.40/x
  3. Step 3: Cross multiply
    365,405.80x = 504,262.74 × 204,267.40
  4. Step 4: Simplify right side
    365,405.80x = 103,004,438,816.68
  5. Step 5: Solve for x
    x = 103,004,438,816.68/365,405.80
  6. Step 6: Final answer
    x = 281,890.54

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