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Finding the Fourth Proportional to 275,972.25, 413,953.21 and 150,411.56

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Solution

The fourth proportional to 275,972.25, 413,953.21 and 150,411.56 is: 225,614.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,972.25 : 413,953.21 = 150,411.56 : x
  2. Step 2: Convert to fraction form
    275,972.25/413,953.21 = 150,411.56/x
  3. Step 3: Cross multiply
    275,972.25x = 413,953.21 × 150,411.56
  4. Step 4: Simplify right side
    275,972.25x = 62,263,348,741.96
  5. Step 5: Solve for x
    x = 62,263,348,741.96/275,972.25
  6. Step 6: Final answer
    x = 225,614.53

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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.