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Finding the Fourth Proportional to 330,034.62, 494,972.64 and 152,370.96

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Solution

The fourth proportional to 330,034.62, 494,972.64 and 152,370.96 is: 228,519.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,034.62 : 494,972.64 = 152,370.96 : x
  2. Step 2: Convert to fraction form
    330,034.62/494,972.64 = 152,370.96/x
  3. Step 3: Cross multiply
    330,034.62x = 494,972.64 × 152,370.96
  4. Step 4: Simplify right side
    330,034.62x = 75,419,456,330.53
  5. Step 5: Solve for x
    x = 75,419,456,330.53/330,034.62
  6. Step 6: Final answer
    x = 228,519.83

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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.