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Finding the Fourth Proportional to 230,991.31, 316,452.63 and 222,356.15

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Solution

The fourth proportional to 230,991.31, 316,452.63 and 222,356.15 is: 304,622.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,991.31 : 316,452.63 = 222,356.15 : x
  2. Step 2: Convert to fraction form
    230,991.31/316,452.63 = 222,356.15/x
  3. Step 3: Cross multiply
    230,991.31x = 316,452.63 × 222,356.15
  4. Step 4: Simplify right side
    230,991.31x = 70,365,188,464.17
  5. Step 5: Solve for x
    x = 70,365,188,464.17/230,991.31
  6. Step 6: Final answer
    x = 304,622.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.