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Finding the Fourth Proportional to 322,638.24, 483,291.52 and 189,112.98

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Solution

The fourth proportional to 322,638.24, 483,291.52 and 189,112.98 is: 283,279.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,638.24 : 483,291.52 = 189,112.98 : x
  2. Step 2: Convert to fraction form
    322,638.24/483,291.52 = 189,112.98/x
  3. Step 3: Cross multiply
    322,638.24x = 483,291.52 × 189,112.98
  4. Step 4: Simplify right side
    322,638.24x = 91,396,699,555.93
  5. Step 5: Solve for x
    x = 91,396,699,555.93/322,638.24
  6. Step 6: Final answer
    x = 283,279.19

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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.