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Finding the Fourth Proportional to 322,234.65, 482,615.73 and 153,872.91

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Solution

The fourth proportional to 322,234.65, 482,615.73 and 153,872.91 is: 230,457.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,234.65 : 482,615.73 = 153,872.91 : x
  2. Step 2: Convert to fraction form
    322,234.65/482,615.73 = 153,872.91/x
  3. Step 3: Cross multiply
    322,234.65x = 482,615.73 × 153,872.91
  4. Step 4: Simplify right side
    322,234.65x = 74,261,486,786.87
  5. Step 5: Solve for x
    x = 74,261,486,786.87/322,234.65
  6. Step 6: Final answer
    x = 230,457.79

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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.