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Finding the Fourth Proportional to 355,902.98, 491,146.06 and 194,758.05

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Solution

The fourth proportional to 355,902.98, 491,146.06 and 194,758.05 is: 268,766.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,902.98 : 491,146.06 = 194,758.05 : x
  2. Step 2: Convert to fraction form
    355,902.98/491,146.06 = 194,758.05/x
  3. Step 3: Cross multiply
    355,902.98x = 491,146.06 × 194,758.05
  4. Step 4: Simplify right side
    355,902.98x = 95,654,646,455.05
  5. Step 5: Solve for x
    x = 95,654,646,455.05/355,902.98
  6. Step 6: Final answer
    x = 268,766.07

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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.