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Finding the Fourth Proportional to 422,226.98, 633,406.06 and 141,809.84

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Solution

The fourth proportional to 422,226.98, 633,406.06 and 141,809.84 is: 212,736.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,226.98 : 633,406.06 = 141,809.84 : x
  2. Step 2: Convert to fraction form
    422,226.98/633,406.06 = 141,809.84/x
  3. Step 3: Cross multiply
    422,226.98x = 633,406.06 × 141,809.84
  4. Step 4: Simplify right side
    422,226.98x = 89,823,211,409.14
  5. Step 5: Solve for x
    x = 89,823,211,409.14/422,226.98
  6. Step 6: Final answer
    x = 212,736.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.