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Finding the Fourth Proportional to 363,067.32, 543,432.82 and 194,165.08

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Solution

The fourth proportional to 363,067.32, 543,432.82 and 194,165.08 is: 290,622.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,067.32 : 543,432.82 = 194,165.08 : x
  2. Step 2: Convert to fraction form
    363,067.32/543,432.82 = 194,165.08/x
  3. Step 3: Cross multiply
    363,067.32x = 543,432.82 × 194,165.08
  4. Step 4: Simplify right side
    363,067.32x = 105,515,676,969.93
  5. Step 5: Solve for x
    x = 105,515,676,969.93/363,067.32
  6. Step 6: Final answer
    x = 290,622.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.