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Finding the Fourth Proportional to 361,087.22, 498,356.62 and 206,038.82

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Solution

The fourth proportional to 361,087.22, 498,356.62 and 206,038.82 is: 284,365.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,087.22 : 498,356.62 = 206,038.82 : x
  2. Step 2: Convert to fraction form
    361,087.22/498,356.62 = 206,038.82/x
  3. Step 3: Cross multiply
    361,087.22x = 498,356.62 × 206,038.82
  4. Step 4: Simplify right side
    361,087.22x = 102,680,809,923.99
  5. Step 5: Solve for x
    x = 102,680,809,923.99/361,087.22
  6. Step 6: Final answer
    x = 284,365.67

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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.