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Finding the Fourth Proportional to 297,043.58, 409,919.32 and 161,077.11

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Solution

The fourth proportional to 297,043.58, 409,919.32 and 161,077.11 is: 222,285.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,043.58 : 409,919.32 = 161,077.11 : x
  2. Step 2: Convert to fraction form
    297,043.58/409,919.32 = 161,077.11/x
  3. Step 3: Cross multiply
    297,043.58x = 409,919.32 × 161,077.11
  4. Step 4: Simplify right side
    297,043.58x = 66,028,617,836.40
  5. Step 5: Solve for x
    x = 66,028,617,836.40/297,043.58
  6. Step 6: Final answer
    x = 222,285.96

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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.