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Finding the Fourth Proportional to 489,483, 675,488.16 and 285,674.04

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Solution

The fourth proportional to 489,483, 675,488.16 and 285,674.04 is: 394,231.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,483 : 675,488.16 = 285,674.04 : x
  2. Step 2: Convert to fraction form
    489,483/675,488.16 = 285,674.04/x
  3. Step 3: Cross multiply
    489,483x = 675,488.16 × 285,674.04
  4. Step 4: Simplify right side
    489,483x = 192,969,431,639.37
  5. Step 5: Solve for x
    x = 192,969,431,639.37/489,483
  6. Step 6: Final answer
    x = 394,231.12

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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.