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Finding the Fourth Proportional to 468,361.26, 646,369.74 and 264,339.72

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Solution

The fourth proportional to 468,361.26, 646,369.74 and 264,339.72 is: 364,806.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,361.26 : 646,369.74 = 264,339.72 : x
  2. Step 2: Convert to fraction form
    468,361.26/646,369.74 = 264,339.72/x
  3. Step 3: Cross multiply
    468,361.26x = 646,369.74 × 264,339.72
  4. Step 4: Simplify right side
    468,361.26x = 170,861,196,088.07
  5. Step 5: Solve for x
    x = 170,861,196,088.07/468,361.26
  6. Step 6: Final answer
    x = 364,806.42

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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.