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Finding the Fourth Proportional to 308,834.56, 463,255.68 and 84,206.08

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Solution

The fourth proportional to 308,834.56, 463,255.68 and 84,206.08 is: 126,310.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,834.56 : 463,255.68 = 84,206.08 : x
  2. Step 2: Convert to fraction form
    308,834.56/463,255.68 = 84,206.08/x
  3. Step 3: Cross multiply
    308,834.56x = 463,255.68 × 84,206.08
  4. Step 4: Simplify right side
    308,834.56x = 39,008,944,850.53
  5. Step 5: Solve for x
    x = 39,008,944,850.53/308,834.56
  6. Step 6: Final answer
    x = 126,310.17

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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.