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Finding the Fourth Proportional to 361,198.56, 498,462.30 and 197,870.67

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Solution

The fourth proportional to 361,198.56, 498,462.30 and 197,870.67 is: 273,066.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,198.56 : 498,462.30 = 197,870.67 : x
  2. Step 2: Convert to fraction form
    361,198.56/498,462.30 = 197,870.67/x
  3. Step 3: Cross multiply
    361,198.56x = 498,462.30 × 197,870.67
  4. Step 4: Simplify right side
    361,198.56x = 98,631,069,270.74
  5. Step 5: Solve for x
    x = 98,631,069,270.74/361,198.56
  6. Step 6: Final answer
    x = 273,066.06

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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.