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Finding the Fourth Proportional to 341,950, 471,891.20 and 191,047

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Solution

The fourth proportional to 341,950, 471,891.20 and 191,047 is: 263,644.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,950 : 471,891.20 = 191,047 : x
  2. Step 2: Convert to fraction form
    341,950/471,891.20 = 191,047/x
  3. Step 3: Cross multiply
    341,950x = 471,891.20 × 191,047
  4. Step 4: Simplify right side
    341,950x = 90,153,398,086.40
  5. Step 5: Solve for x
    x = 90,153,398,086.40/341,950
  6. Step 6: Final answer
    x = 263,644.97

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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.