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Finding the Fourth Proportional to 275,707.48, 413,563.40 and 150,980.44

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Solution

The fourth proportional to 275,707.48, 413,563.40 and 150,980.44 is: 226,471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,707.48 : 413,563.40 = 150,980.44 : x
  2. Step 2: Convert to fraction form
    275,707.48/413,563.40 = 150,980.44/x
  3. Step 3: Cross multiply
    275,707.48x = 413,563.40 × 150,980.44
  4. Step 4: Simplify right side
    275,707.48x = 62,439,984,099.90
  5. Step 5: Solve for x
    x = 62,439,984,099.90/275,707.48
  6. Step 6: Final answer
    x = 226,471.85

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1.5x scale

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.