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Finding the Fourth Proportional to 341,993.52, 471,942.80 and 186,937.84

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Solution

The fourth proportional to 341,993.52, 471,942.80 and 186,937.84 is: 257,969.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,993.52 : 471,942.80 = 186,937.84 : x
  2. Step 2: Convert to fraction form
    341,993.52/471,942.80 = 186,937.84/x
  3. Step 3: Cross multiply
    341,993.52x = 471,942.80 × 186,937.84
  4. Step 4: Simplify right side
    341,993.52x = 88,223,967,635.55
  5. Step 5: Solve for x
    x = 88,223,967,635.55/341,993.52
  6. Step 6: Final answer
    x = 257,969.71

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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.