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Finding the Fourth Proportional to 297,295.59, 410,265.84 and 161,326.08

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Solution

The fourth proportional to 297,295.59, 410,265.84 and 161,326.08 is: 222,628.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,295.59 : 410,265.84 = 161,326.08 : x
  2. Step 2: Convert to fraction form
    297,295.59/410,265.84 = 161,326.08/x
  3. Step 3: Cross multiply
    297,295.59x = 410,265.84 × 161,326.08
  4. Step 4: Simplify right side
    297,295.59x = 66,186,579,725.11
  5. Step 5: Solve for x
    x = 66,186,579,725.11/297,295.59
  6. Step 6: Final answer
    x = 222,628.86

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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.