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Finding the Fourth Proportional to 322,568.22, 483,939.84 and 97,935.96

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Solution

The fourth proportional to 322,568.22, 483,939.84 and 97,935.96 is: 146,930.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,568.22 : 483,939.84 = 97,935.96 : x
  2. Step 2: Convert to fraction form
    322,568.22/483,939.84 = 97,935.96/x
  3. Step 3: Cross multiply
    322,568.22x = 483,939.84 × 97,935.96
  4. Step 4: Simplify right side
    322,568.22x = 47,395,112,812.65
  5. Step 5: Solve for x
    x = 47,395,112,812.65/322,568.22
  6. Step 6: Final answer
    x = 146,930.51

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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.