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Finding the Fourth Proportional to 356,098.89, 491,401.67 and 194,949.93

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Solution

The fourth proportional to 356,098.89, 491,401.67 and 194,949.93 is: 269,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,098.89 : 491,401.67 = 194,949.93 : x
  2. Step 2: Convert to fraction form
    356,098.89/491,401.67 = 194,949.93/x
  3. Step 3: Cross multiply
    356,098.89x = 491,401.67 × 194,949.93
  4. Step 4: Simplify right side
    356,098.89x = 95,798,720,193.63
  5. Step 5: Solve for x
    x = 95,798,720,193.63/356,098.89
  6. Step 6: Final answer
    x = 269,022.80

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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.