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Finding the Fourth Proportional to 327,538.96, 490,291.44 and 177,406.40

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Solution

The fourth proportional to 327,538.96, 490,291.44 and 177,406.40 is: 265,558.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,538.96 : 490,291.44 = 177,406.40 : x
  2. Step 2: Convert to fraction form
    327,538.96/490,291.44 = 177,406.40/x
  3. Step 3: Cross multiply
    327,538.96x = 490,291.44 × 177,406.40
  4. Step 4: Simplify right side
    327,538.96x = 86,980,839,321.22
  5. Step 5: Solve for x
    x = 86,980,839,321.22/327,538.96
  6. Step 6: Final answer
    x = 265,558.76

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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.