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Finding the Fourth Proportional to 667,196.09, 920,796.56 and 380,759.24

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Solution

The fourth proportional to 667,196.09, 920,796.56 and 380,759.24 is: 525,485.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,196.09 : 920,796.56 = 380,759.24 : x
  2. Step 2: Convert to fraction form
    667,196.09/920,796.56 = 380,759.24/x
  3. Step 3: Cross multiply
    667,196.09x = 920,796.56 × 380,759.24
  4. Step 4: Simplify right side
    667,196.09x = 350,601,798,380.21
  5. Step 5: Solve for x
    x = 350,601,798,380.21/667,196.09
  6. Step 6: Final answer
    x = 525,485.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.