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Finding the Fourth Proportional to 492,757.80, 739,136.70 and 282,222.60

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Solution

The fourth proportional to 492,757.80, 739,136.70 and 282,222.60 is: 423,333.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,757.80 : 739,136.70 = 282,222.60 : x
  2. Step 2: Convert to fraction form
    492,757.80/739,136.70 = 282,222.60/x
  3. Step 3: Cross multiply
    492,757.80x = 739,136.70 × 282,222.60
  4. Step 4: Simplify right side
    492,757.80x = 208,601,081,229.42
  5. Step 5: Solve for x
    x = 208,601,081,229.42/492,757.80
  6. Step 6: Final answer
    x = 423,333.90

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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.