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Finding the Fourth Proportional to 419,814.36, 629,575.74 and 139,266

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Solution

The fourth proportional to 419,814.36, 629,575.74 and 139,266 is: 208,850.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,814.36 : 629,575.74 = 139,266 : x
  2. Step 2: Convert to fraction form
    419,814.36/629,575.74 = 139,266/x
  3. Step 3: Cross multiply
    419,814.36x = 629,575.74 × 139,266
  4. Step 4: Simplify right side
    419,814.36x = 87,678,495,006.84
  5. Step 5: Solve for x
    x = 87,678,495,006.84/419,814.36
  6. Step 6: Final answer
    x = 208,850.63

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