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Finding the Fourth Proportional to 365,294.10, 504,104.21 and 204,149.06

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Solution

The fourth proportional to 365,294.10, 504,104.21 and 204,149.06 is: 281,724.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,294.10 : 504,104.21 = 204,149.06 : x
  2. Step 2: Convert to fraction form
    365,294.10/504,104.21 = 204,149.06/x
  3. Step 3: Cross multiply
    365,294.10x = 504,104.21 × 204,149.06
  4. Step 4: Simplify right side
    365,294.10x = 102,912,399,728.23
  5. Step 5: Solve for x
    x = 102,912,399,728.23/365,294.10
  6. Step 6: Final answer
    x = 281,724.78

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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.