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Finding the Fourth Proportional to 307,745.22, 424,759.26 and 180,461.82

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Solution

The fourth proportional to 307,745.22, 424,759.26 and 180,461.82 is: 249,078.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,745.22 : 424,759.26 = 180,461.82 : x
  2. Step 2: Convert to fraction form
    307,745.22/424,759.26 = 180,461.82/x
  3. Step 3: Cross multiply
    307,745.22x = 424,759.26 × 180,461.82
  4. Step 4: Simplify right side
    307,745.22x = 76,652,830,375.93
  5. Step 5: Solve for x
    x = 76,652,830,375.93/307,745.22
  6. Step 6: Final answer
    x = 249,078.86

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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.