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Finding the Fourth Proportional to 471,246.54, 706,601.90 and 321,667.90

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Solution

The fourth proportional to 471,246.54, 706,601.90 and 321,667.90 is: 482,318.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,246.54 : 706,601.90 = 321,667.90 : x
  2. Step 2: Convert to fraction form
    471,246.54/706,601.90 = 321,667.90/x
  3. Step 3: Cross multiply
    471,246.54x = 706,601.90 × 321,667.90
  4. Step 4: Simplify right side
    471,246.54x = 227,291,149,309.01
  5. Step 5: Solve for x
    x = 227,291,149,309.01/471,246.54
  6. Step 6: Final answer
    x = 482,318.98

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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.