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Finding the Fourth Proportional to 297,404.06, 410,418.70 and 161,438.27

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Solution

The fourth proportional to 297,404.06, 410,418.70 and 161,438.27 is: 222,785.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,404.06 : 410,418.70 = 161,438.27 : x
  2. Step 2: Convert to fraction form
    297,404.06/410,418.70 = 161,438.27/x
  3. Step 3: Cross multiply
    297,404.06x = 410,418.70 × 161,438.27
  4. Step 4: Simplify right side
    297,404.06x = 66,257,282,447.96
  5. Step 5: Solve for x
    x = 66,257,282,447.96/297,404.06
  6. Step 6: Final answer
    x = 222,785.40

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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.