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Finding the Fourth Proportional to 322,498.67, 483,749.07 and 97,860.97

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Solution

The fourth proportional to 322,498.67, 483,749.07 and 97,860.97 is: 146,791.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,498.67 : 483,749.07 = 97,860.97 : x
  2. Step 2: Convert to fraction form
    322,498.67/483,749.07 = 97,860.97/x
  3. Step 3: Cross multiply
    322,498.67x = 483,749.07 × 97,860.97
  4. Step 4: Simplify right side
    322,498.67x = 47,340,153,226.80
  5. Step 5: Solve for x
    x = 47,340,153,226.80/322,498.67
  6. Step 6: Final answer
    x = 146,791.78

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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.