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Finding the Fourth Proportional to 297,458.48, 410,489.80 and 161,489.48

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Solution

The fourth proportional to 297,458.48, 410,489.80 and 161,489.48 is: 222,853.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,458.48 : 410,489.80 = 161,489.48 : x
  2. Step 2: Convert to fraction form
    297,458.48/410,489.80 = 161,489.48/x
  3. Step 3: Cross multiply
    297,458.48x = 410,489.80 × 161,489.48
  4. Step 4: Simplify right side
    297,458.48x = 66,289,784,347.30
  5. Step 5: Solve for x
    x = 66,289,784,347.30/297,458.48
  6. Step 6: Final answer
    x = 222,853.91

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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.