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Finding the Fourth Proportional to 422,327.95, 582,673.03 and 258,923.95

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Solution

The fourth proportional to 422,327.95, 582,673.03 and 258,923.95 is: 357,229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,327.95 : 582,673.03 = 258,923.95 : x
  2. Step 2: Convert to fraction form
    422,327.95/582,673.03 = 258,923.95/x
  3. Step 3: Cross multiply
    422,327.95x = 582,673.03 × 258,923.95
  4. Step 4: Simplify right side
    422,327.95x = 150,868,002,486.07
  5. Step 5: Solve for x
    x = 150,868,002,486.07/422,327.95
  6. Step 6: Final answer
    x = 357,229.50

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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.