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Finding the Fourth Proportional to 288,613.40, 398,285.34 and 161,288.96

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Solution

The fourth proportional to 288,613.40, 398,285.34 and 161,288.96 is: 222,578.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,613.40 : 398,285.34 = 161,288.96 : x
  2. Step 2: Convert to fraction form
    288,613.40/398,285.34 = 161,288.96/x
  3. Step 3: Cross multiply
    288,613.40x = 398,285.34 × 161,288.96
  4. Step 4: Simplify right side
    288,613.40x = 64,239,028,271.85
  5. Step 5: Solve for x
    x = 64,239,028,271.85/288,613.40
  6. Step 6: Final answer
    x = 222,578.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.