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Finding the Fourth Proportional to 304,289.66, 419,778.25 and 196,894.26

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Solution

The fourth proportional to 304,289.66, 419,778.25 and 196,894.26 is: 271,622.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,289.66 : 419,778.25 = 196,894.26 : x
  2. Step 2: Convert to fraction form
    304,289.66/419,778.25 = 196,894.26/x
  3. Step 3: Cross multiply
    304,289.66x = 419,778.25 × 196,894.26
  4. Step 4: Simplify right side
    304,289.66x = 82,651,927,405.61
  5. Step 5: Solve for x
    x = 82,651,927,405.61/304,289.66
  6. Step 6: Final answer
    x = 271,622.53

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1.5x scale

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.