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Finding the Fourth Proportional to 414,182.54, 571,764.48 and 312,249.44

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Solution

The fourth proportional to 414,182.54, 571,764.48 and 312,249.44 is: 431,049.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,182.54 : 571,764.48 = 312,249.44 : x
  2. Step 2: Convert to fraction form
    414,182.54/571,764.48 = 312,249.44/x
  3. Step 3: Cross multiply
    414,182.54x = 571,764.48 × 312,249.44
  4. Step 4: Simplify right side
    414,182.54x = 178,533,138,691.89
  5. Step 5: Solve for x
    x = 178,533,138,691.89/414,182.54
  6. Step 6: Final answer
    x = 431,049.41

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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.