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Finding the Fourth Proportional to 288,682.56, 398,365.84 and 159,613.56

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Solution

The fourth proportional to 288,682.56, 398,365.84 and 159,613.56 is: 220,257.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,682.56 : 398,365.84 = 159,613.56 : x
  2. Step 2: Convert to fraction form
    288,682.56/398,365.84 = 159,613.56/x
  3. Step 3: Cross multiply
    288,682.56x = 398,365.84 × 159,613.56
  4. Step 4: Simplify right side
    288,682.56x = 63,584,589,904.79
  5. Step 5: Solve for x
    x = 63,584,589,904.79/288,682.56
  6. Step 6: Final answer
    x = 220,257.82

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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.