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Finding the Fourth Proportional to 356,126.48, 491,435.87 and 194,950.66

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Solution

The fourth proportional to 356,126.48, 491,435.87 and 194,950.66 is: 269,021.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,126.48 : 491,435.87 = 194,950.66 : x
  2. Step 2: Convert to fraction form
    356,126.48/491,435.87 = 194,950.66/x
  3. Step 3: Cross multiply
    356,126.48x = 491,435.87 × 194,950.66
  4. Step 4: Simplify right side
    356,126.48x = 95,805,747,204.17
  5. Step 5: Solve for x
    x = 95,805,747,204.17/356,126.48
  6. Step 6: Final answer
    x = 269,021.69

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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.