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Finding the Fourth Proportional to 288,401.28, 398,016.94 and 159,351

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Solution

The fourth proportional to 288,401.28, 398,016.94 and 159,351 is: 219,917.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,401.28 : 398,016.94 = 159,351 : x
  2. Step 2: Convert to fraction form
    288,401.28/398,016.94 = 159,351/x
  3. Step 3: Cross multiply
    288,401.28x = 398,016.94 × 159,351
  4. Step 4: Simplify right side
    288,401.28x = 63,424,397,405.94
  5. Step 5: Solve for x
    x = 63,424,397,405.94/288,401.28
  6. Step 6: Final answer
    x = 219,917.18

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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.