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Finding the Fourth Proportional to 322,814.35, 484,217.52 and 145,195.93

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Solution

The fourth proportional to 322,814.35, 484,217.52 and 145,195.93 is: 217,792.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,814.35 : 484,217.52 = 145,195.93 : x
  2. Step 2: Convert to fraction form
    322,814.35/484,217.52 = 145,195.93/x
  3. Step 3: Cross multiply
    322,814.35x = 484,217.52 × 145,195.93
  4. Step 4: Simplify right side
    322,814.35x = 70,306,413,138.69
  5. Step 5: Solve for x
    x = 70,306,413,138.69/322,814.35
  6. Step 6: Final answer
    x = 217,792.09

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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.