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Finding the Fourth Proportional to 341,222.44, 470,813.98 and 196,046.01

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Solution

The fourth proportional to 341,222.44, 470,813.98 and 196,046.01 is: 270,501.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,222.44 : 470,813.98 = 196,046.01 : x
  2. Step 2: Convert to fraction form
    341,222.44/470,813.98 = 196,046.01/x
  3. Step 3: Cross multiply
    341,222.44x = 470,813.98 × 196,046.01
  4. Step 4: Simplify right side
    341,222.44x = 92,301,202,231.22
  5. Step 5: Solve for x
    x = 92,301,202,231.22/341,222.44
  6. Step 6: Final answer
    x = 270,501.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.