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Finding the Fourth Proportional to 288,525.61, 398,214.79 and 167,736.96

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Solution

The fourth proportional to 288,525.61, 398,214.79 and 167,736.96 is: 231,505.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,525.61 : 398,214.79 = 167,736.96 : x
  2. Step 2: Convert to fraction form
    288,525.61/398,214.79 = 167,736.96/x
  3. Step 3: Cross multiply
    288,525.61x = 398,214.79 × 167,736.96
  4. Step 4: Simplify right side
    288,525.61x = 66,795,338,301.64
  5. Step 5: Solve for x
    x = 66,795,338,301.64/288,525.61
  6. Step 6: Final answer
    x = 231,505.75

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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.