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Finding the Fourth Proportional to 297,628.82, 410,732.74 and 161,663.03

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Solution

The fourth proportional to 297,628.82, 410,732.74 and 161,663.03 is: 223,097.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,628.82 : 410,732.74 = 161,663.03 : x
  2. Step 2: Convert to fraction form
    297,628.82/410,732.74 = 161,663.03/x
  3. Step 3: Cross multiply
    297,628.82x = 410,732.74 × 161,663.03
  4. Step 4: Simplify right side
    297,628.82x = 66,400,299,268.60
  5. Step 5: Solve for x
    x = 66,400,299,268.60/297,628.82
  6. Step 6: Final answer
    x = 223,097.68

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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.