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Finding the Fourth Proportional to 489,584.92, 675,846.36 and 298,674.40

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Solution

The fourth proportional to 489,584.92, 675,846.36 and 298,674.40 is: 412,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,584.92 : 675,846.36 = 298,674.40 : x
  2. Step 2: Convert to fraction form
    489,584.92/675,846.36 = 298,674.40/x
  3. Step 3: Cross multiply
    489,584.92x = 675,846.36 × 298,674.40
  4. Step 4: Simplify right side
    489,584.92x = 201,858,006,065.18
  5. Step 5: Solve for x
    x = 201,858,006,065.18/489,584.92
  6. Step 6: Final answer
    x = 412,304.38

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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.