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Finding the Fourth Proportional to 494,182, 741,290.82 and 139,227.04

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Solution

The fourth proportional to 494,182, 741,290.82 and 139,227.04 is: 208,845.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,182 : 741,290.82 = 139,227.04 : x
  2. Step 2: Convert to fraction form
    494,182/741,290.82 = 139,227.04/x
  3. Step 3: Cross multiply
    494,182x = 741,290.82 × 139,227.04
  4. Step 4: Simplify right side
    494,182x = 103,207,726,647.77
  5. Step 5: Solve for x
    x = 103,207,726,647.77/494,182
  6. Step 6: Final answer
    x = 208,845.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.