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Finding the Fourth Proportional to 295,954.46, 408,438 and 166,904.48

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Solution

The fourth proportional to 295,954.46, 408,438 and 166,904.48 is: 230,339.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,954.46 : 408,438 = 166,904.48 : x
  2. Step 2: Convert to fraction form
    295,954.46/408,438 = 166,904.48/x
  3. Step 3: Cross multiply
    295,954.46x = 408,438 × 166,904.48
  4. Step 4: Simplify right side
    295,954.46x = 68,170,132,002.24
  5. Step 5: Solve for x
    x = 68,170,132,002.24/295,954.46
  6. Step 6: Final answer
    x = 230,339.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.