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Finding the Fourth Proportional to 365,235.64, 504,015.50 and 204,092.01

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Solution

The fourth proportional to 365,235.64, 504,015.50 and 204,092.01 is: 281,641.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,235.64 : 504,015.50 = 204,092.01 : x
  2. Step 2: Convert to fraction form
    365,235.64/504,015.50 = 204,092.01/x
  3. Step 3: Cross multiply
    365,235.64x = 504,015.50 × 204,092.01
  4. Step 4: Simplify right side
    365,235.64x = 102,865,536,976.39
  5. Step 5: Solve for x
    x = 102,865,536,976.39/365,235.64
  6. Step 6: Final answer
    x = 281,641.57

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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.