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Finding the Fourth Proportional to 2,946,416, 4,419,611.40 and 816,494

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Solution

The fourth proportional to 2,946,416, 4,419,611.40 and 816,494 is: 1,224,737.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946,416 : 4,419,611.40 = 816,494 : x
  2. Step 2: Convert to fraction form
    2,946,416/4,419,611.40 = 816,494/x
  3. Step 3: Cross multiply
    2,946,416x = 4,419,611.40 × 816,494
  4. Step 4: Simplify right side
    2,946,416x = 3,608,586,190,431.60
  5. Step 5: Solve for x
    x = 3,608,586,190,431.60/2,946,416
  6. Step 6: Final answer
    x = 1,224,737.51

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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.