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Finding the Fourth Proportional to 294,093.40, 405,922.94 and 166,845.40

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Solution

The fourth proportional to 294,093.40, 405,922.94 and 166,845.40 is: 230,288.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,093.40 : 405,922.94 = 166,845.40 : x
  2. Step 2: Convert to fraction form
    294,093.40/405,922.94 = 166,845.40/x
  3. Step 3: Cross multiply
    294,093.40x = 405,922.94 × 166,845.40
  4. Step 4: Simplify right side
    294,093.40x = 67,726,375,293.48
  5. Step 5: Solve for x
    x = 67,726,375,293.48/294,093.40
  6. Step 6: Final answer
    x = 230,288.66

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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.