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Finding the Fourth Proportional to 322,147.41, 483,183.59 and 85,508.48

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Solution

The fourth proportional to 322,147.41, 483,183.59 and 85,508.48 is: 128,252.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,147.41 : 483,183.59 = 85,508.48 : x
  2. Step 2: Convert to fraction form
    322,147.41/483,183.59 = 85,508.48/x
  3. Step 3: Cross multiply
    322,147.41x = 483,183.59 × 85,508.48
  4. Step 4: Simplify right side
    322,147.41x = 41,316,291,498.38
  5. Step 5: Solve for x
    x = 41,316,291,498.38/322,147.41
  6. Step 6: Final answer
    x = 128,252.75

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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.