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Finding the Fourth Proportional to 307,804.26, 423,822.41 and 262,380.42

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Solution

The fourth proportional to 307,804.26, 423,822.41 and 262,380.42 is: 361,277.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,804.26 : 423,822.41 = 262,380.42 : x
  2. Step 2: Convert to fraction form
    307,804.26/423,822.41 = 262,380.42/x
  3. Step 3: Cross multiply
    307,804.26x = 423,822.41 × 262,380.42
  4. Step 4: Simplify right side
    307,804.26x = 111,202,701,941.21
  5. Step 5: Solve for x
    x = 111,202,701,941.21/307,804.26
  6. Step 6: Final answer
    x = 361,277.33

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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.