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Finding the Fourth Proportional to 322,314.26, 483,471.38 and 122,588.51

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Solution

The fourth proportional to 322,314.26, 483,471.38 and 122,588.51 is: 183,882.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,314.26 : 483,471.38 = 122,588.51 : x
  2. Step 2: Convert to fraction form
    322,314.26/483,471.38 = 122,588.51/x
  3. Step 3: Cross multiply
    322,314.26x = 483,471.38 × 122,588.51
  4. Step 4: Simplify right side
    322,314.26x = 59,268,033,990.96
  5. Step 5: Solve for x
    x = 59,268,033,990.96/322,314.26
  6. Step 6: Final answer
    x = 183,882.76

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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.