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Finding the Fourth Proportional to 329,416.52, 493,183.42 and 308,491.18

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Solution

The fourth proportional to 329,416.52, 493,183.42 and 308,491.18 is: 461,855.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,416.52 : 493,183.42 = 308,491.18 : x
  2. Step 2: Convert to fraction form
    329,416.52/493,183.42 = 308,491.18/x
  3. Step 3: Cross multiply
    329,416.52x = 493,183.42 × 308,491.18
  4. Step 4: Simplify right side
    329,416.52x = 152,142,733,188.05
  5. Step 5: Solve for x
    x = 152,142,733,188.05/329,416.52
  6. Step 6: Final answer
    x = 461,855.21

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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.