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Finding the Fourth Proportional to 297,408.91, 410,412.21 and 161,437.66

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Solution

The fourth proportional to 297,408.91, 410,412.21 and 161,437.66 is: 222,777.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,408.91 : 410,412.21 = 161,437.66 : x
  2. Step 2: Convert to fraction form
    297,408.91/410,412.21 = 161,437.66/x
  3. Step 3: Cross multiply
    297,408.91x = 410,412.21 × 161,437.66
  4. Step 4: Simplify right side
    297,408.91x = 66,255,986,817.83
  5. Step 5: Solve for x
    x = 66,255,986,817.83/297,408.91
  6. Step 6: Final answer
    x = 222,777.41

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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.