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Finding the Fourth Proportional to 307,564.56, 424,481.48 and 180,290.96

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Solution

The fourth proportional to 307,564.56, 424,481.48 and 180,290.96 is: 248,826.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,564.56 : 424,481.48 = 180,290.96 : x
  2. Step 2: Convert to fraction form
    307,564.56/424,481.48 = 180,290.96/x
  3. Step 3: Cross multiply
    307,564.56x = 424,481.48 × 180,290.96
  4. Step 4: Simplify right side
    307,564.56x = 76,530,173,531.42
  5. Step 5: Solve for x
    x = 76,530,173,531.42/307,564.56
  6. Step 6: Final answer
    x = 248,826.37

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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.