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Finding the Fourth Proportional to 288,524.56, 398,156.52 and 161,200.96

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Solution

The fourth proportional to 288,524.56, 398,156.52 and 161,200.96 is: 222,453.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,524.56 : 398,156.52 = 161,200.96 : x
  2. Step 2: Convert to fraction form
    288,524.56/398,156.52 = 161,200.96/x
  3. Step 3: Cross multiply
    288,524.56x = 398,156.52 × 161,200.96
  4. Step 4: Simplify right side
    288,524.56x = 64,183,213,254.26
  5. Step 5: Solve for x
    x = 64,183,213,254.26/288,524.56
  6. Step 6: Final answer
    x = 222,453.21

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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.