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Finding the Fourth Proportional to 294,107.37, 405,868.14 and 166,782.96

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Solution

The fourth proportional to 294,107.37, 405,868.14 and 166,782.96 is: 230,160.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,107.37 : 405,868.14 = 166,782.96 : x
  2. Step 2: Convert to fraction form
    294,107.37/405,868.14 = 166,782.96/x
  3. Step 3: Cross multiply
    294,107.37x = 405,868.14 × 166,782.96
  4. Step 4: Simplify right side
    294,107.37x = 67,691,889,758.89
  5. Step 5: Solve for x
    x = 67,691,889,758.89/294,107.37
  6. Step 6: Final answer
    x = 230,160.47

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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.