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Finding the Fourth Proportional to 462,832.43, 694,299.67 and 147,215.52

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Solution

The fourth proportional to 462,832.43, 694,299.67 and 147,215.52 is: 220,839.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,832.43 : 694,299.67 = 147,215.52 : x
  2. Step 2: Convert to fraction form
    462,832.43/694,299.67 = 147,215.52/x
  3. Step 3: Cross multiply
    462,832.43x = 694,299.67 × 147,215.52
  4. Step 4: Simplify right side
    462,832.43x = 102,211,686,586.84
  5. Step 5: Solve for x
    x = 102,211,686,586.84/462,832.43
  6. Step 6: Final answer
    x = 220,839.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.