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Finding the Fourth Proportional to 277,239.25, 382,561.50 and 204,680.77

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Solution

The fourth proportional to 277,239.25, 382,561.50 and 204,680.77 is: 282,438.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,239.25 : 382,561.50 = 204,680.77 : x
  2. Step 2: Convert to fraction form
    277,239.25/382,561.50 = 204,680.77/x
  3. Step 3: Cross multiply
    277,239.25x = 382,561.50 × 204,680.77
  4. Step 4: Simplify right side
    277,239.25x = 78,302,981,435.95
  5. Step 5: Solve for x
    x = 78,302,981,435.95/277,239.25
  6. Step 6: Final answer
    x = 282,438.30

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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.