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Finding the Fourth Proportional to 322,713.10, 484,004.85 and 154,233.10

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Solution

The fourth proportional to 322,713.10, 484,004.85 and 154,233.10 is: 231,318.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,713.10 : 484,004.85 = 154,233.10 : x
  2. Step 2: Convert to fraction form
    322,713.10/484,004.85 = 154,233.10/x
  3. Step 3: Cross multiply
    322,713.10x = 484,004.85 × 154,233.10
  4. Step 4: Simplify right side
    322,713.10x = 74,649,568,430.54
  5. Step 5: Solve for x
    x = 74,649,568,430.54/322,713.10
  6. Step 6: Final answer
    x = 231,318.68

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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.