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Finding the Fourth Proportional to 259,296, 388,944 and 62,304

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Solution

The fourth proportional to 259,296, 388,944 and 62,304 is: 93,456

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,296 : 388,944 = 62,304 : x
  2. Step 2: Convert to fraction form
    259,296/388,944 = 62,304/x
  3. Step 3: Cross multiply
    259,296x = 388,944 × 62,304
  4. Step 4: Simplify right side
    259,296x = 24,232,766,976
  5. Step 5: Solve for x
    x = 24,232,766,976/259,296
  6. Step 6: Final answer
    x = 93,456

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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.