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Finding the Fourth Proportional to 382,912.13, 574,722.82 and 193,505.78

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Solution

The fourth proportional to 382,912.13, 574,722.82 and 193,505.78 is: 290,437.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,912.13 : 574,722.82 = 193,505.78 : x
  2. Step 2: Convert to fraction form
    382,912.13/574,722.82 = 193,505.78/x
  3. Step 3: Cross multiply
    382,912.13x = 574,722.82 × 193,505.78
  4. Step 4: Simplify right side
    382,912.13x = 111,212,187,567.90
  5. Step 5: Solve for x
    x = 111,212,187,567.90/382,912.13
  6. Step 6: Final answer
    x = 290,437.88

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1.5x scale

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.