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Finding the Fourth Proportional to 382,770.81, 574,239.24 and 116,524.44

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Solution

The fourth proportional to 382,770.81, 574,239.24 and 116,524.44 is: 174,811.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,770.81 : 574,239.24 = 116,524.44 : x
  2. Step 2: Convert to fraction form
    382,770.81/574,239.24 = 116,524.44/x
  3. Step 3: Cross multiply
    382,770.81x = 574,239.24 × 116,524.44
  4. Step 4: Simplify right side
    382,770.81x = 66,912,905,867.03
  5. Step 5: Solve for x
    x = 66,912,905,867.03/382,770.81
  6. Step 6: Final answer
    x = 174,811.93

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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.