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Finding the Fourth Proportional to 341,969.35, 471,942.13 and 189,004.25

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Solution

The fourth proportional to 341,969.35, 471,942.13 and 189,004.25 is: 260,839.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,969.35 : 471,942.13 = 189,004.25 : x
  2. Step 2: Convert to fraction form
    341,969.35/471,942.13 = 189,004.25/x
  3. Step 3: Cross multiply
    341,969.35x = 471,942.13 × 189,004.25
  4. Step 4: Simplify right side
    341,969.35x = 89,199,067,970.38
  5. Step 5: Solve for x
    x = 89,199,067,970.38/341,969.35
  6. Step 6: Final answer
    x = 260,839.37

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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.