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Finding the Fourth Proportional to 383,198.46, 573,816.26 and 319,861.11

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Solution

The fourth proportional to 383,198.46, 573,816.26 and 319,861.11 is: 478,972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,198.46 : 573,816.26 = 319,861.11 : x
  2. Step 2: Convert to fraction form
    383,198.46/573,816.26 = 319,861.11/x
  3. Step 3: Cross multiply
    383,198.46x = 573,816.26 × 319,861.11
  4. Step 4: Simplify right side
    383,198.46x = 183,541,505,859.65
  5. Step 5: Solve for x
    x = 183,541,505,859.65/383,198.46
  6. Step 6: Final answer
    x = 478,972.45

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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.