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Finding the Fourth Proportional to 481,533.16, 664,626.36 and 320,395

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Solution

The fourth proportional to 481,533.16, 664,626.36 and 320,395 is: 442,218.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,533.16 : 664,626.36 = 320,395 : x
  2. Step 2: Convert to fraction form
    481,533.16/664,626.36 = 320,395/x
  3. Step 3: Cross multiply
    481,533.16x = 664,626.36 × 320,395
  4. Step 4: Simplify right side
    481,533.16x = 212,942,962,612.20
  5. Step 5: Solve for x
    x = 212,942,962,612.20/481,533.16
  6. Step 6: Final answer
    x = 442,218.69

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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.