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Finding the Fourth Proportional to 383,022.32, 574,795.84 and 133,704.32

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Solution

The fourth proportional to 383,022.32, 574,795.84 and 133,704.32 is: 200,648.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,022.32 : 574,795.84 = 133,704.32 : x
  2. Step 2: Convert to fraction form
    383,022.32/574,795.84 = 133,704.32/x
  3. Step 3: Cross multiply
    383,022.32x = 574,795.84 × 133,704.32
  4. Step 4: Simplify right side
    383,022.32x = 76,852,686,926.03
  5. Step 5: Solve for x
    x = 76,852,686,926.03/383,022.32
  6. Step 6: Final answer
    x = 200,648.06

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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.