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Finding the Fourth Proportional to 489,633.38, 675,698.73 and 285,811.46

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Solution

The fourth proportional to 489,633.38, 675,698.73 and 285,811.46 is: 394,422.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,633.38 : 675,698.73 = 285,811.46 : x
  2. Step 2: Convert to fraction form
    489,633.38/675,698.73 = 285,811.46/x
  3. Step 3: Cross multiply
    489,633.38x = 675,698.73 × 285,811.46
  4. Step 4: Simplify right side
    489,633.38x = 193,122,440,541.45
  5. Step 5: Solve for x
    x = 193,122,440,541.45/489,633.38
  6. Step 6: Final answer
    x = 394,422.54

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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.