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Finding the Fourth Proportional to 284,629.96, 427,015.02 and 200,554.32

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Solution

The fourth proportional to 284,629.96, 427,015.02 and 200,554.32 is: 300,880.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,629.96 : 427,015.02 = 200,554.32 : x
  2. Step 2: Convert to fraction form
    284,629.96/427,015.02 = 200,554.32/x
  3. Step 3: Cross multiply
    284,629.96x = 427,015.02 × 200,554.32
  4. Step 4: Simplify right side
    284,629.96x = 85,639,704,624.65
  5. Step 5: Solve for x
    x = 85,639,704,624.65/284,629.96
  6. Step 6: Final answer
    x = 300,880.85

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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.