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Finding the Fourth Proportional to 421,770.38, 582,050.41 and 230,786.96

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Solution

The fourth proportional to 421,770.38, 582,050.41 and 230,786.96 is: 318,489.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,770.38 : 582,050.41 = 230,786.96 : x
  2. Step 2: Convert to fraction form
    421,770.38/582,050.41 = 230,786.96/x
  3. Step 3: Cross multiply
    421,770.38x = 582,050.41 × 230,786.96
  4. Step 4: Simplify right side
    421,770.38x = 134,329,641,203.43
  5. Step 5: Solve for x
    x = 134,329,641,203.43/421,770.38
  6. Step 6: Final answer
    x = 318,489.99

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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.