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Finding the Fourth Proportional to 295,277.12, 407,469.66 and 167,951.60

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Solution

The fourth proportional to 295,277.12, 407,469.66 and 167,951.60 is: 231,765.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,277.12 : 407,469.66 = 167,951.60 : x
  2. Step 2: Convert to fraction form
    295,277.12/407,469.66 = 167,951.60/x
  3. Step 3: Cross multiply
    295,277.12x = 407,469.66 × 167,951.60
  4. Step 4: Simplify right side
    295,277.12x = 68,435,181,348.46
  5. Step 5: Solve for x
    x = 68,435,181,348.46/295,277.12
  6. Step 6: Final answer
    x = 231,765.95

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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.