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Finding the Fourth Proportional to 322,404.10, 483,606.15 and 197,815.30

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Solution

The fourth proportional to 322,404.10, 483,606.15 and 197,815.30 is: 296,722.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,404.10 : 483,606.15 = 197,815.30 : x
  2. Step 2: Convert to fraction form
    322,404.10/483,606.15 = 197,815.30/x
  3. Step 3: Cross multiply
    322,404.10x = 483,606.15 × 197,815.30
  4. Step 4: Simplify right side
    322,404.10x = 95,664,695,644.10
  5. Step 5: Solve for x
    x = 95,664,695,644.10/322,404.10
  6. Step 6: Final answer
    x = 296,722.95

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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.