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Finding the Fourth Proportional to 296,934, 444,285 and 208,360.32

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Solution

The fourth proportional to 296,934, 444,285 and 208,360.32 is: 311,757.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,934 : 444,285 = 208,360.32 : x
  2. Step 2: Convert to fraction form
    296,934/444,285 = 208,360.32/x
  3. Step 3: Cross multiply
    296,934x = 444,285 × 208,360.32
  4. Step 4: Simplify right side
    296,934x = 92,571,364,771.20
  5. Step 5: Solve for x
    x = 92,571,364,771.20/296,934
  6. Step 6: Final answer
    x = 311,757.38

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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.