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Finding the Fourth Proportional to 341,993.26, 471,949.71 and 191,090.38

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Solution

The fourth proportional to 341,993.26, 471,949.71 and 191,090.38 is: 263,704.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,993.26 : 471,949.71 = 191,090.38 : x
  2. Step 2: Convert to fraction form
    341,993.26/471,949.71 = 191,090.38/x
  3. Step 3: Cross multiply
    341,993.26x = 471,949.71 × 191,090.38
  4. Step 4: Simplify right side
    341,993.26x = 90,185,049,424.79
  5. Step 5: Solve for x
    x = 90,185,049,424.79/341,993.26
  6. Step 6: Final answer
    x = 263,704.17

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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.