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Finding the Fourth Proportional to 413,021.78, 619,591.77 and 182,467.56

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Solution

The fourth proportional to 413,021.78, 619,591.77 and 182,467.56 is: 273,727.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,021.78 : 619,591.77 = 182,467.56 : x
  2. Step 2: Convert to fraction form
    413,021.78/619,591.77 = 182,467.56/x
  3. Step 3: Cross multiply
    413,021.78x = 619,591.77 × 182,467.56
  4. Step 4: Simplify right side
    413,021.78x = 113,055,398,467.98
  5. Step 5: Solve for x
    x = 113,055,398,467.98/413,021.78
  6. Step 6: Final answer
    x = 273,727.45

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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.