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Finding the Fourth Proportional to 295,048.26, 407,164.74 and 167,723.85

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Solution

The fourth proportional to 295,048.26, 407,164.74 and 167,723.85 is: 231,457.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,048.26 : 407,164.74 = 167,723.85 : x
  2. Step 2: Convert to fraction form
    295,048.26/407,164.74 = 167,723.85/x
  3. Step 3: Cross multiply
    295,048.26x = 407,164.74 × 167,723.85
  4. Step 4: Simplify right side
    295,048.26x = 68,291,237,777.05
  5. Step 5: Solve for x
    x = 68,291,237,777.05/295,048.26
  6. Step 6: Final answer
    x = 231,457.86

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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.