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Finding the Fourth Proportional to 312,418.56, 467,245.44 and 277,582.08

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Solution

The fourth proportional to 312,418.56, 467,245.44 and 277,582.08 is: 415,144.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,418.56 : 467,245.44 = 277,582.08 : x
  2. Step 2: Convert to fraction form
    312,418.56/467,245.44 = 277,582.08/x
  3. Step 3: Cross multiply
    312,418.56x = 467,245.44 × 277,582.08
  4. Step 4: Simplify right side
    312,418.56x = 129,698,961,105.72
  5. Step 5: Solve for x
    x = 129,698,961,105.72/312,418.56
  6. Step 6: Final answer
    x = 415,144.87

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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.