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Finding the Fourth Proportional to 322,542.66, 445,059.05 and 186,589.25

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Solution

The fourth proportional to 322,542.66, 445,059.05 and 186,589.25 is: 257,464.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,542.66 : 445,059.05 = 186,589.25 : x
  2. Step 2: Convert to fraction form
    322,542.66/445,059.05 = 186,589.25/x
  3. Step 3: Cross multiply
    322,542.66x = 445,059.05 × 186,589.25
  4. Step 4: Simplify right side
    322,542.66x = 83,043,235,359.40
  5. Step 5: Solve for x
    x = 83,043,235,359.40/322,542.66
  6. Step 6: Final answer
    x = 257,464.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.