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Finding the Fourth Proportional to 275,689.32, 412,812.24 and 180,620.43

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Solution

The fourth proportional to 275,689.32, 412,812.24 and 180,620.43 is: 270,457.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,689.32 : 412,812.24 = 180,620.43 : x
  2. Step 2: Convert to fraction form
    275,689.32/412,812.24 = 180,620.43/x
  3. Step 3: Cross multiply
    275,689.32x = 412,812.24 × 180,620.43
  4. Step 4: Simplify right side
    275,689.32x = 74,562,324,298.06
  5. Step 5: Solve for x
    x = 74,562,324,298.06/275,689.32
  6. Step 6: Final answer
    x = 270,457.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.