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Finding the Fourth Proportional to 327,196.76, 490,796.04 and 177,507.54

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Solution

The fourth proportional to 327,196.76, 490,796.04 and 177,507.54 is: 266,261.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,196.76 : 490,796.04 = 177,507.54 : x
  2. Step 2: Convert to fraction form
    327,196.76/490,796.04 = 177,507.54/x
  3. Step 3: Cross multiply
    327,196.76x = 490,796.04 × 177,507.54
  4. Step 4: Simplify right side
    327,196.76x = 87,119,997,702.14
  5. Step 5: Solve for x
    x = 87,119,997,702.14/327,196.76
  6. Step 6: Final answer
    x = 266,261.80

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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.