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Finding the Fourth Proportional to 288,258.36, 397,797.39 and 160,938.78

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Solution

The fourth proportional to 288,258.36, 397,797.39 and 160,938.78 is: 222,095.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,258.36 : 397,797.39 = 160,938.78 : x
  2. Step 2: Convert to fraction form
    288,258.36/397,797.39 = 160,938.78/x
  3. Step 3: Cross multiply
    288,258.36x = 397,797.39 × 160,938.78
  4. Step 4: Simplify right side
    288,258.36x = 64,021,026,633.78
  5. Step 5: Solve for x
    x = 64,021,026,633.78/288,258.36
  6. Step 6: Final answer
    x = 222,095.99

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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.