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Finding the Fourth Proportional to 288,137.45, 397,681.72 and 171,858.38

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Solution

The fourth proportional to 288,137.45, 397,681.72 and 171,858.38 is: 237,195.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,137.45 : 397,681.72 = 171,858.38 : x
  2. Step 2: Convert to fraction form
    288,137.45/397,681.72 = 171,858.38/x
  3. Step 3: Cross multiply
    288,137.45x = 397,681.72 × 171,858.38
  4. Step 4: Simplify right side
    288,137.45x = 68,344,933,736.76
  5. Step 5: Solve for x
    x = 68,344,933,736.76/288,137.45
  6. Step 6: Final answer
    x = 237,195.59

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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.