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Finding the Fourth Proportional to 322,018.96, 483,115.92 and 229,115.20

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Solution

The fourth proportional to 322,018.96, 483,115.92 and 229,115.20 is: 343,735.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,018.96 : 483,115.92 = 229,115.20 : x
  2. Step 2: Convert to fraction form
    322,018.96/483,115.92 = 229,115.20/x
  3. Step 3: Cross multiply
    322,018.96x = 483,115.92 × 229,115.20
  4. Step 4: Simplify right side
    322,018.96x = 110,689,200,633.98
  5. Step 5: Solve for x
    x = 110,689,200,633.98/322,018.96
  6. Step 6: Final answer
    x = 343,735.04

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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.