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Finding the Fourth Proportional to 297,623.94, 410,716.65 and 161,659.65

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Solution

The fourth proportional to 297,623.94, 410,716.65 and 161,659.65 is: 223,087.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,623.94 : 410,716.65 = 161,659.65 : x
  2. Step 2: Convert to fraction form
    297,623.94/410,716.65 = 161,659.65/x
  3. Step 3: Cross multiply
    297,623.94x = 410,716.65 × 161,659.65
  4. Step 4: Simplify right side
    297,623.94x = 66,396,309,888.17
  5. Step 5: Solve for x
    x = 66,396,309,888.17/297,623.94
  6. Step 6: Final answer
    x = 223,087.93

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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.