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Finding the Fourth Proportional to 307,744.26, 424,757.94 and 180,460.86

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Solution

The fourth proportional to 307,744.26, 424,757.94 and 180,460.86 is: 249,077.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,744.26 : 424,757.94 = 180,460.86 : x
  2. Step 2: Convert to fraction form
    307,744.26/424,757.94 = 180,460.86/x
  3. Step 3: Cross multiply
    307,744.26x = 424,757.94 × 180,460.86
  4. Step 4: Simplify right side
    307,744.26x = 76,652,183,144.23
  5. Step 5: Solve for x
    x = 76,652,183,144.23/307,744.26
  6. Step 6: Final answer
    x = 249,077.54

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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.