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Finding the Fourth Proportional to 288,595.44, 398,270.52 and 161,276.40

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Solution

The fourth proportional to 288,595.44, 398,270.52 and 161,276.40 is: 222,566.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,595.44 : 398,270.52 = 161,276.40 : x
  2. Step 2: Convert to fraction form
    288,595.44/398,270.52 = 161,276.40/x
  3. Step 3: Cross multiply
    288,595.44x = 398,270.52 × 161,276.40
  4. Step 4: Simplify right side
    288,595.44x = 64,231,635,691.73
  5. Step 5: Solve for x
    x = 64,231,635,691.73/288,595.44
  6. Step 6: Final answer
    x = 222,566.36

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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.