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Finding the Fourth Proportional to 365,269.96, 504,092.46 and 204,125.32

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Solution

The fourth proportional to 365,269.96, 504,092.46 and 204,125.32 is: 281,704.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,269.96 : 504,092.46 = 204,125.32 : x
  2. Step 2: Convert to fraction form
    365,269.96/504,092.46 = 204,125.32/x
  3. Step 3: Cross multiply
    365,269.96x = 504,092.46 × 204,125.32
  4. Step 4: Simplify right side
    365,269.96x = 102,898,034,707.09
  5. Step 5: Solve for x
    x = 102,898,034,707.09/365,269.96
  6. Step 6: Final answer
    x = 281,704.07

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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.