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Finding the Fourth Proportional to 297,458.52, 410,489.82 and 161,489.46

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Solution

The fourth proportional to 297,458.52, 410,489.82 and 161,489.46 is: 222,853.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,458.52 : 410,489.82 = 161,489.46 : x
  2. Step 2: Convert to fraction form
    297,458.52/410,489.82 = 161,489.46/x
  3. Step 3: Cross multiply
    297,458.52x = 410,489.82 × 161,489.46
  4. Step 4: Simplify right side
    297,458.52x = 66,289,779,367.30
  5. Step 5: Solve for x
    x = 66,289,779,367.30/297,458.52
  6. Step 6: Final answer
    x = 222,853.86

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1.5x scale

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.