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Finding the Fourth Proportional to 605,198.40, 907,905.92 and 205,818.40

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Solution

The fourth proportional to 605,198.40, 907,905.92 and 205,818.40 is: 308,764.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,198.40 : 907,905.92 = 205,818.40 : x
  2. Step 2: Convert to fraction form
    605,198.40/907,905.92 = 205,818.40/x
  3. Step 3: Cross multiply
    605,198.40x = 907,905.92 × 205,818.40
  4. Step 4: Simplify right side
    605,198.40x = 186,863,743,804.93
  5. Step 5: Solve for x
    x = 186,863,743,804.93/605,198.40
  6. Step 6: Final answer
    x = 308,764.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.