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Finding the Fourth Proportional to 685,942.14, 946,600.90 and 384,136.14

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Solution

The fourth proportional to 685,942.14, 946,600.90 and 384,136.14 is: 530,108.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,942.14 : 946,600.90 = 384,136.14 : x
  2. Step 2: Convert to fraction form
    685,942.14/946,600.90 = 384,136.14/x
  3. Step 3: Cross multiply
    685,942.14x = 946,600.90 × 384,136.14
  4. Step 4: Simplify right side
    685,942.14x = 363,623,615,846.53
  5. Step 5: Solve for x
    x = 363,623,615,846.53/685,942.14
  6. Step 6: Final answer
    x = 530,108.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.