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Finding the Fourth Proportional to 288,129.46, 397,670.70 and 171,850.39

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Solution

The fourth proportional to 288,129.46, 397,670.70 and 171,850.39 is: 237,184.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,129.46 : 397,670.70 = 171,850.39 : x
  2. Step 2: Convert to fraction form
    288,129.46/397,670.70 = 171,850.39/x
  3. Step 3: Cross multiply
    288,129.46x = 397,670.70 × 171,850.39
  4. Step 4: Simplify right side
    288,129.46x = 68,339,863,468.98
  5. Step 5: Solve for x
    x = 68,339,863,468.98/288,129.46
  6. Step 6: Final answer
    x = 237,184.58

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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.