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Finding the Fourth Proportional to 365,144.97, 503,910.34 and 204,017.75

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Solution

The fourth proportional to 365,144.97, 503,910.34 and 204,017.75 is: 281,550.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,144.97 : 503,910.34 = 204,017.75 : x
  2. Step 2: Convert to fraction form
    365,144.97/503,910.34 = 204,017.75/x
  3. Step 3: Cross multiply
    365,144.97x = 503,910.34 × 204,017.75
  4. Step 4: Simplify right side
    365,144.97x = 102,806,651,248.98
  5. Step 5: Solve for x
    x = 102,806,651,248.98/365,144.97
  6. Step 6: Final answer
    x = 281,550.23

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1.5x scale

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.