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Finding the Fourth Proportional to 386,533.62, 533,415.38 and 216,771.39

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Solution

The fourth proportional to 386,533.62, 533,415.38 and 216,771.39 is: 299,143.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,533.62 : 533,415.38 = 216,771.39 : x
  2. Step 2: Convert to fraction form
    386,533.62/533,415.38 = 216,771.39/x
  3. Step 3: Cross multiply
    386,533.62x = 533,415.38 × 216,771.39
  4. Step 4: Simplify right side
    386,533.62x = 115,629,192,286.12
  5. Step 5: Solve for x
    x = 115,629,192,286.12/386,533.62
  6. Step 6: Final answer
    x = 299,143.95

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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.