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Finding the Fourth Proportional to 322,665.40, 483,609.30 and 164,812.60

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Solution

The fourth proportional to 322,665.40, 483,609.30 and 164,812.60 is: 247,020.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,665.40 : 483,609.30 = 164,812.60 : x
  2. Step 2: Convert to fraction form
    322,665.40/483,609.30 = 164,812.60/x
  3. Step 3: Cross multiply
    322,665.40x = 483,609.30 × 164,812.60
  4. Step 4: Simplify right side
    322,665.40x = 79,704,906,117.18
  5. Step 5: Solve for x
    x = 79,704,906,117.18/322,665.40
  6. Step 6: Final answer
    x = 247,020.31

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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.