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Finding the Fourth Proportional to 355,894.21, 491,133.99 and 194,749.27

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Solution

The fourth proportional to 355,894.21, 491,133.99 and 194,749.27 is: 268,753.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,894.21 : 491,133.99 = 194,749.27 : x
  2. Step 2: Convert to fraction form
    355,894.21/491,133.99 = 194,749.27/x
  3. Step 3: Cross multiply
    355,894.21x = 491,133.99 × 194,749.27
  4. Step 4: Simplify right side
    355,894.21x = 95,647,986,024.69
  5. Step 5: Solve for x
    x = 95,647,986,024.69/355,894.21
  6. Step 6: Final answer
    x = 268,753.98

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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.