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Finding the Fourth Proportional to 308,745.90, 463,896.45 and 196,479.90

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Solution

The fourth proportional to 308,745.90, 463,896.45 and 196,479.90 is: 295,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,745.90 : 463,896.45 = 196,479.90 : x
  2. Step 2: Convert to fraction form
    308,745.90/463,896.45 = 196,479.90/x
  3. Step 3: Cross multiply
    308,745.90x = 463,896.45 × 196,479.90
  4. Step 4: Simplify right side
    308,745.90x = 91,146,328,106.36
  5. Step 5: Solve for x
    x = 91,146,328,106.36/308,745.90
  6. Step 6: Final answer
    x = 295,214.70

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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.