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Finding the Fourth Proportional to 386,551.44, 533,467.62 and 216,796.50

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Solution

The fourth proportional to 386,551.44, 533,467.62 and 216,796.50 is: 299,194.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,551.44 : 533,467.62 = 216,796.50 : x
  2. Step 2: Convert to fraction form
    386,551.44/533,467.62 = 216,796.50/x
  3. Step 3: Cross multiply
    386,551.44x = 533,467.62 × 216,796.50
  4. Step 4: Simplify right side
    386,551.44x = 115,653,912,879.33
  5. Step 5: Solve for x
    x = 115,653,912,879.33/386,551.44
  6. Step 6: Final answer
    x = 299,194.11

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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.