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Finding the Fourth Proportional to 288,228.20, 397,713.78 and 160,901

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Solution

The fourth proportional to 288,228.20, 397,713.78 and 160,901 is: 222,020.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,228.20 : 397,713.78 = 160,901 : x
  2. Step 2: Convert to fraction form
    288,228.20/397,713.78 = 160,901/x
  3. Step 3: Cross multiply
    288,228.20x = 397,713.78 × 160,901
  4. Step 4: Simplify right side
    288,228.20x = 63,992,544,915.78
  5. Step 5: Solve for x
    x = 63,992,544,915.78/288,228.20
  6. Step 6: Final answer
    x = 222,020.42

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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.