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Finding the Fourth Proportional to 422,326.95, 582,671.66 and 258,922.95

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Solution

The fourth proportional to 422,326.95, 582,671.66 and 258,922.95 is: 357,228.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,326.95 : 582,671.66 = 258,922.95 : x
  2. Step 2: Convert to fraction form
    422,326.95/582,671.66 = 258,922.95/x
  3. Step 3: Cross multiply
    422,326.95x = 582,671.66 × 258,922.95
  4. Step 4: Simplify right side
    422,326.95x = 150,867,063,793.98
  5. Step 5: Solve for x
    x = 150,867,063,793.98/422,326.95
  6. Step 6: Final answer
    x = 357,228.12

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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.