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Finding the Fourth Proportional to 468,166.72, 646,072.26 and 264,226.22

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Solution

The fourth proportional to 468,166.72, 646,072.26 and 264,226.22 is: 364,633.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,166.72 : 646,072.26 = 264,226.22 : x
  2. Step 2: Convert to fraction form
    468,166.72/646,072.26 = 264,226.22/x
  3. Step 3: Cross multiply
    468,166.72x = 646,072.26 × 264,226.22
  4. Step 4: Simplify right side
    468,166.72x = 170,709,231,106.66
  5. Step 5: Solve for x
    x = 170,709,231,106.66/468,166.72
  6. Step 6: Final answer
    x = 364,633.42

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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.