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Finding the Fourth Proportional to 298,028.16, 411,258.24 and 177,163.20

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Solution

The fourth proportional to 298,028.16, 411,258.24 and 177,163.20 is: 244,472.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,028.16 : 411,258.24 = 177,163.20 : x
  2. Step 2: Convert to fraction form
    298,028.16/411,258.24 = 177,163.20/x
  3. Step 3: Cross multiply
    298,028.16x = 411,258.24 × 177,163.20
  4. Step 4: Simplify right side
    298,028.16x = 72,859,825,824.77
  5. Step 5: Solve for x
    x = 72,859,825,824.77/298,028.16
  6. Step 6: Final answer
    x = 244,472.96

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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.