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Finding the Fourth Proportional to 295,164.28, 407,326.77 and 167,847.67

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Solution

The fourth proportional to 295,164.28, 407,326.77 and 167,847.67 is: 231,629.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,164.28 : 407,326.77 = 167,847.67 : x
  2. Step 2: Convert to fraction form
    295,164.28/407,326.77 = 167,847.67/x
  3. Step 3: Cross multiply
    295,164.28x = 407,326.77 × 167,847.67
  4. Step 4: Simplify right side
    295,164.28x = 68,368,849,273.13
  5. Step 5: Solve for x
    x = 68,368,849,273.13/295,164.28
  6. Step 6: Final answer
    x = 231,629.82

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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.