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Finding the Fourth Proportional to 341,229.44, 470,823.64 and 196,053.02

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Solution

The fourth proportional to 341,229.44, 470,823.64 and 196,053.02 is: 270,511.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,229.44 : 470,823.64 = 196,053.02 : x
  2. Step 2: Convert to fraction form
    341,229.44/470,823.64 = 196,053.02/x
  3. Step 3: Cross multiply
    341,229.44x = 470,823.64 × 196,053.02
  4. Step 4: Simplify right side
    341,229.44x = 92,306,396,509.39
  5. Step 5: Solve for x
    x = 92,306,396,509.39/341,229.44
  6. Step 6: Final answer
    x = 270,511.23

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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.