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Finding the Fourth Proportional to 382,770.91, 574,239.41 and 116,524.54

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Solution

The fourth proportional to 382,770.91, 574,239.41 and 116,524.54 is: 174,812.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,770.91 : 574,239.41 = 116,524.54 : x
  2. Step 2: Convert to fraction form
    382,770.91/574,239.41 = 116,524.54/x
  3. Step 3: Cross multiply
    382,770.91x = 574,239.41 × 116,524.54
  4. Step 4: Simplify right side
    382,770.91x = 66,912,979,646.30
  5. Step 5: Solve for x
    x = 66,912,979,646.30/382,770.91
  6. Step 6: Final answer
    x = 174,812.08

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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.