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Finding the Fourth Proportional to 297,464.84, 410,501.61 and 161,498.64

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Solution

The fourth proportional to 297,464.84, 410,501.61 and 161,498.64 is: 222,868.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,464.84 : 410,501.61 = 161,498.64 : x
  2. Step 2: Convert to fraction form
    297,464.84/410,501.61 = 161,498.64/x
  3. Step 3: Cross multiply
    297,464.84x = 410,501.61 × 161,498.64
  4. Step 4: Simplify right side
    297,464.84x = 66,295,451,732.81
  5. Step 5: Solve for x
    x = 66,295,451,732.81/297,464.84
  6. Step 6: Final answer
    x = 222,868.20

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