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Finding the Fourth Proportional to 329,684.84, 494,619.42 and 108,224.36

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Solution

The fourth proportional to 329,684.84, 494,619.42 and 108,224.36 is: 162,366.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,684.84 : 494,619.42 = 108,224.36 : x
  2. Step 2: Convert to fraction form
    329,684.84/494,619.42 = 108,224.36/x
  3. Step 3: Cross multiply
    329,684.84x = 494,619.42 × 108,224.36
  4. Step 4: Simplify right side
    329,684.84x = 53,529,870,173.07
  5. Step 5: Solve for x
    x = 53,529,870,173.07/329,684.84
  6. Step 6: Final answer
    x = 162,366.79

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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.