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Finding the Fourth Proportional to 297,713.64, 410,843.04 and 161,746.44

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Solution

The fourth proportional to 297,713.64, 410,843.04 and 161,746.44 is: 223,209.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,713.64 : 410,843.04 = 161,746.44 : x
  2. Step 2: Convert to fraction form
    297,713.64/410,843.04 = 161,746.44/x
  3. Step 3: Cross multiply
    297,713.64x = 410,843.04 × 161,746.44
  4. Step 4: Simplify right side
    297,713.64x = 66,452,399,118.78
  5. Step 5: Solve for x
    x = 66,452,399,118.78/297,713.64
  6. Step 6: Final answer
    x = 223,209.12

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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.