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Finding the Fourth Proportional to 297,653.84, 410,769.70 and 161,687.75

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Solution

The fourth proportional to 297,653.84, 410,769.70 and 161,687.75 is: 223,133.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,653.84 : 410,769.70 = 161,687.75 : x
  2. Step 2: Convert to fraction form
    297,653.84/410,769.70 = 161,687.75/x
  3. Step 3: Cross multiply
    297,653.84x = 410,769.70 × 161,687.75
  4. Step 4: Simplify right side
    297,653.84x = 66,416,426,103.11
  5. Step 5: Solve for x
    x = 66,416,426,103.11/297,653.84
  6. Step 6: Final answer
    x = 223,133.11

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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.