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Finding the Fourth Proportional to 322,416.80, 483,433.20 and 197,847.20

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Solution

The fourth proportional to 322,416.80, 483,433.20 and 197,847.20 is: 296,652.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,416.80 : 483,433.20 = 197,847.20 : x
  2. Step 2: Convert to fraction form
    322,416.80/483,433.20 = 197,847.20/x
  3. Step 3: Cross multiply
    322,416.80x = 483,433.20 × 197,847.20
  4. Step 4: Simplify right side
    322,416.80x = 95,645,905,007.04
  5. Step 5: Solve for x
    x = 95,645,905,007.04/322,416.80
  6. Step 6: Final answer
    x = 296,652.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.