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Finding the Fourth Proportional to 275,575.68, 413,309 and 75,844.48

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Solution

The fourth proportional to 275,575.68, 413,309 and 75,844.48 is: 113,751.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,575.68 : 413,309 = 75,844.48 : x
  2. Step 2: Convert to fraction form
    275,575.68/413,309 = 75,844.48/x
  3. Step 3: Cross multiply
    275,575.68x = 413,309 × 75,844.48
  4. Step 4: Simplify right side
    275,575.68x = 31,347,206,184.32
  5. Step 5: Solve for x
    x = 31,347,206,184.32/275,575.68
  6. Step 6: Final answer
    x = 113,751.71

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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.