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Finding the Fourth Proportional to 468,794.43, 646,897.97 and 264,863.07

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Solution

The fourth proportional to 468,794.43, 646,897.97 and 264,863.07 is: 365,489.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,794.43 : 646,897.97 = 264,863.07 : x
  2. Step 2: Convert to fraction form
    468,794.43/646,897.97 = 264,863.07/x
  3. Step 3: Cross multiply
    468,794.43x = 646,897.97 × 264,863.07
  4. Step 4: Simplify right side
    468,794.43x = 171,339,380,986.65
  5. Step 5: Solve for x
    x = 171,339,380,986.65/468,794.43
  6. Step 6: Final answer
    x = 365,489.37

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Why These Related Problems?

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