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Finding the Fourth Proportional to 297,376.12, 410,379.46 and 161,410.10

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Solution

The fourth proportional to 297,376.12, 410,379.46 and 161,410.10 is: 222,746.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,376.12 : 410,379.46 = 161,410.10 : x
  2. Step 2: Convert to fraction form
    297,376.12/410,379.46 = 161,410.10/x
  3. Step 3: Cross multiply
    297,376.12x = 410,379.46 × 161,410.10
  4. Step 4: Simplify right side
    297,376.12x = 66,239,389,676.55
  5. Step 5: Solve for x
    x = 66,239,389,676.55/297,376.12
  6. Step 6: Final answer
    x = 222,746.16

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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.