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Finding the Fourth Proportional to 329,699.25, 494,549.42 and 119,287.98

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Solution

The fourth proportional to 329,699.25, 494,549.42 and 119,287.98 is: 178,932.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,699.25 : 494,549.42 = 119,287.98 : x
  2. Step 2: Convert to fraction form
    329,699.25/494,549.42 = 119,287.98/x
  3. Step 3: Cross multiply
    329,699.25x = 494,549.42 × 119,287.98
  4. Step 4: Simplify right side
    329,699.25x = 58,993,800,725.53
  5. Step 5: Solve for x
    x = 58,993,800,725.53/329,699.25
  6. Step 6: Final answer
    x = 178,932.17

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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.