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Finding the Fourth Proportional to 468,616, 703,138.20 and 255,064

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Solution

The fourth proportional to 468,616, 703,138.20 and 255,064 is: 382,712.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,616 : 703,138.20 = 255,064 : x
  2. Step 2: Convert to fraction form
    468,616/703,138.20 = 255,064/x
  3. Step 3: Cross multiply
    468,616x = 703,138.20 × 255,064
  4. Step 4: Simplify right side
    468,616x = 179,345,241,844.80
  5. Step 5: Solve for x
    x = 179,345,241,844.80/468,616
  6. Step 6: Final answer
    x = 382,712.59

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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.