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Finding the Fourth Proportional to 288,196.72, 397,709.93 and 167,367.70

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Solution

The fourth proportional to 288,196.72, 397,709.93 and 167,367.70 is: 230,966.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,196.72 : 397,709.93 = 167,367.70 : x
  2. Step 2: Convert to fraction form
    288,196.72/397,709.93 = 167,367.70/x
  3. Step 3: Cross multiply
    288,196.72x = 397,709.93 × 167,367.70
  4. Step 4: Simplify right side
    288,196.72x = 66,563,795,675.41
  5. Step 5: Solve for x
    x = 66,563,795,675.41/288,196.72
  6. Step 6: Final answer
    x = 230,966.53

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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.