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Finding the Fourth Proportional to 329,874.66, 494,860.68 and 119,463.48

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Solution

The fourth proportional to 329,874.66, 494,860.68 and 119,463.48 is: 179,212.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,874.66 : 494,860.68 = 119,463.48 : x
  2. Step 2: Convert to fraction form
    329,874.66/494,860.68 = 119,463.48/x
  3. Step 3: Cross multiply
    329,874.66x = 494,860.68 × 119,463.48
  4. Step 4: Simplify right side
    329,874.66x = 59,117,778,947.97
  5. Step 5: Solve for x
    x = 59,117,778,947.97/329,874.66
  6. Step 6: Final answer
    x = 179,212.85

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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.