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Finding the Fourth Proportional to 342,004.26, 471,964.87 and 191,101.38

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Solution

The fourth proportional to 342,004.26, 471,964.87 and 191,101.38 is: 263,719.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,004.26 : 471,964.87 = 191,101.38 : x
  2. Step 2: Convert to fraction form
    342,004.26/471,964.87 = 191,101.38/x
  3. Step 3: Cross multiply
    342,004.26x = 471,964.87 × 191,101.38
  4. Step 4: Simplify right side
    342,004.26x = 90,193,137,968.52
  5. Step 5: Solve for x
    x = 90,193,137,968.52/342,004.26
  6. Step 6: Final answer
    x = 263,719.34

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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.