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Finding the Fourth Proportional to 288,525.56, 398,157.90 and 161,201.96

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Solution

The fourth proportional to 288,525.56, 398,157.90 and 161,201.96 is: 222,454.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,525.56 : 398,157.90 = 161,201.96 : x
  2. Step 2: Convert to fraction form
    288,525.56/398,157.90 = 161,201.96/x
  3. Step 3: Cross multiply
    288,525.56x = 398,157.90 × 161,201.96
  4. Step 4: Simplify right side
    288,525.56x = 64,183,833,869.48
  5. Step 5: Solve for x
    x = 64,183,833,869.48/288,525.56
  6. Step 6: Final answer
    x = 222,454.59

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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.