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Finding the Fourth Proportional to 341,969.96, 471,942.97 and 189,004.86

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Solution

The fourth proportional to 341,969.96, 471,942.97 and 189,004.86 is: 260,840.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,969.96 : 471,942.97 = 189,004.86 : x
  2. Step 2: Convert to fraction form
    341,969.96/471,942.97 = 189,004.86/x
  3. Step 3: Cross multiply
    341,969.96x = 471,942.97 × 189,004.86
  4. Step 4: Simplify right side
    341,969.96x = 89,199,515,563.47
  5. Step 5: Solve for x
    x = 89,199,515,563.47/341,969.96
  6. Step 6: Final answer
    x = 260,840.21

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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.