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Finding the Fourth Proportional to 321,993.44, 483,007.25 and 97,348.14

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Solution

The fourth proportional to 321,993.44, 483,007.25 and 97,348.14 is: 146,027.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,993.44 : 483,007.25 = 97,348.14 : x
  2. Step 2: Convert to fraction form
    321,993.44/483,007.25 = 97,348.14/x
  3. Step 3: Cross multiply
    321,993.44x = 483,007.25 × 97,348.14
  4. Step 4: Simplify right side
    321,993.44x = 47,019,856,907.27
  5. Step 5: Solve for x
    x = 47,019,856,907.27/321,993.44
  6. Step 6: Final answer
    x = 146,027.38

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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.