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Finding the Fourth Proportional to 329,416.53, 493,183.41 and 308,491.17

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Solution

The fourth proportional to 329,416.53, 493,183.41 and 308,491.17 is: 461,855.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,416.53 : 493,183.41 = 308,491.17 : x
  2. Step 2: Convert to fraction form
    329,416.53/493,183.41 = 308,491.17/x
  3. Step 3: Cross multiply
    329,416.53x = 493,183.41 × 308,491.17
  4. Step 4: Simplify right side
    329,416.53x = 152,142,727,175.49
  5. Step 5: Solve for x
    x = 152,142,727,175.49/329,416.53
  6. Step 6: Final answer
    x = 461,855.17

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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.