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Finding the Fourth Proportional to 297,716.63, 410,846.69 and 161,751.69

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Solution

The fourth proportional to 297,716.63, 410,846.69 and 161,751.69 is: 223,216.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,716.63 : 410,846.69 = 161,751.69 : x
  2. Step 2: Convert to fraction form
    297,716.63/410,846.69 = 161,751.69/x
  3. Step 3: Cross multiply
    297,716.63x = 410,846.69 × 161,751.69
  4. Step 4: Simplify right side
    297,716.63x = 66,455,146,842.79
  5. Step 5: Solve for x
    x = 66,455,146,842.79/297,716.63
  6. Step 6: Final answer
    x = 223,216.11

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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.