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Finding the Fourth Proportional to 355,974.44, 491,224.74 and 194,829.16

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Solution

The fourth proportional to 355,974.44, 491,224.74 and 194,829.16 is: 268,853.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,974.44 : 491,224.74 = 194,829.16 : x
  2. Step 2: Convert to fraction form
    355,974.44/491,224.74 = 194,829.16/x
  3. Step 3: Cross multiply
    355,974.44x = 491,224.74 × 194,829.16
  4. Step 4: Simplify right side
    355,974.44x = 95,704,903,465.42
  5. Step 5: Solve for x
    x = 95,704,903,465.42/355,974.44
  6. Step 6: Final answer
    x = 268,853.30

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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.