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Finding the Fourth Proportional to 422,329.68, 582,594 and 261,133.20

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Solution

The fourth proportional to 422,329.68, 582,594 and 261,133.20 is: 360,227.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,329.68 : 582,594 = 261,133.20 : x
  2. Step 2: Convert to fraction form
    422,329.68/582,594 = 261,133.20/x
  3. Step 3: Cross multiply
    422,329.68x = 582,594 × 261,133.20
  4. Step 4: Simplify right side
    422,329.68x = 152,134,635,520.80
  5. Step 5: Solve for x
    x = 152,134,635,520.80/422,329.68
  6. Step 6: Final answer
    x = 360,227.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.