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Finding the Fourth Proportional to 322,024.80, 482,845.20 and 197,455.20

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Solution

The fourth proportional to 322,024.80, 482,845.20 and 197,455.20 is: 296,065.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,024.80 : 482,845.20 = 197,455.20 : x
  2. Step 2: Convert to fraction form
    322,024.80/482,845.20 = 197,455.20/x
  3. Step 3: Cross multiply
    322,024.80x = 482,845.20 × 197,455.20
  4. Step 4: Simplify right side
    322,024.80x = 95,340,295,535.04
  5. Step 5: Solve for x
    x = 95,340,295,535.04/322,024.80
  6. Step 6: Final answer
    x = 296,065.07

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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.