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Finding the Fourth Proportional to 365,234.31, 504,022.23 and 204,089.52

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Solution

The fourth proportional to 365,234.31, 504,022.23 and 204,089.52 is: 281,642.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,234.31 : 504,022.23 = 204,089.52 : x
  2. Step 2: Convert to fraction form
    365,234.31/504,022.23 = 204,089.52/x
  3. Step 3: Cross multiply
    365,234.31x = 504,022.23 × 204,089.52
  4. Step 4: Simplify right side
    365,234.31x = 102,865,654,990.03
  5. Step 5: Solve for x
    x = 102,865,654,990.03/365,234.31
  6. Step 6: Final answer
    x = 281,642.91

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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.