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Finding the Fourth Proportional to 362,442.31, 543,524.95 and 119,226.80

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Solution

The fourth proportional to 362,442.31, 543,524.95 and 119,226.80 is: 178,794.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,442.31 : 543,524.95 = 119,226.80 : x
  2. Step 2: Convert to fraction form
    362,442.31/543,524.95 = 119,226.80/x
  3. Step 3: Cross multiply
    362,442.31x = 543,524.95 × 119,226.80
  4. Step 4: Simplify right side
    362,442.31x = 64,802,740,508.66
  5. Step 5: Solve for x
    x = 64,802,740,508.66/362,442.31
  6. Step 6: Final answer
    x = 178,794.63

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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.