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Finding the Fourth Proportional to 492,684.53, 738,797.09 and 255,963.65

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Solution

The fourth proportional to 492,684.53, 738,797.09 and 255,963.65 is: 383,826.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,684.53 : 738,797.09 = 255,963.65 : x
  2. Step 2: Convert to fraction form
    492,684.53/738,797.09 = 255,963.65/x
  3. Step 3: Cross multiply
    492,684.53x = 738,797.09 × 255,963.65
  4. Step 4: Simplify right side
    492,684.53x = 189,105,194,791.98
  5. Step 5: Solve for x
    x = 189,105,194,791.98/492,684.53
  6. Step 6: Final answer
    x = 383,826.13

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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.