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Finding the Fourth Proportional to 341,418.34, 471,087 and 196,196.08

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Solution

The fourth proportional to 341,418.34, 471,087 and 196,196.08 is: 270,710.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,418.34 : 471,087 = 196,196.08 : x
  2. Step 2: Convert to fraction form
    341,418.34/471,087 = 196,196.08/x
  3. Step 3: Cross multiply
    341,418.34x = 471,087 × 196,196.08
  4. Step 4: Simplify right side
    341,418.34x = 92,425,422,738.96
  5. Step 5: Solve for x
    x = 92,425,422,738.96/341,418.34
  6. Step 6: Final answer
    x = 270,710.19

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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.