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Finding the Fourth Proportional to 341,414, 471,151.34 and 188,452.23

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Solution

The fourth proportional to 341,414, 471,151.34 and 188,452.23 is: 260,064.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,414 : 471,151.34 = 188,452.23 : x
  2. Step 2: Convert to fraction form
    341,414/471,151.34 = 188,452.23/x
  3. Step 3: Cross multiply
    341,414x = 471,151.34 × 188,452.23
  4. Step 4: Simplify right side
    341,414x = 88,789,520,690.49
  5. Step 5: Solve for x
    x = 88,789,520,690.49/341,414
  6. Step 6: Final answer
    x = 260,064.09

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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.