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Finding the Fourth Proportional to 275,675.96, 380,442 and 154,838.54

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Solution

The fourth proportional to 275,675.96, 380,442 and 154,838.54 is: 213,682.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,675.96 : 380,442 = 154,838.54 : x
  2. Step 2: Convert to fraction form
    275,675.96/380,442 = 154,838.54/x
  3. Step 3: Cross multiply
    275,675.96x = 380,442 × 154,838.54
  4. Step 4: Simplify right side
    275,675.96x = 58,907,083,834.68
  5. Step 5: Solve for x
    x = 58,907,083,834.68/275,675.96
  6. Step 6: Final answer
    x = 213,682.34

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1.5x scale

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.