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Finding the Fourth Proportional to 342,713.10, 472,958.86 and 189,751.29

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Solution

The fourth proportional to 342,713.10, 472,958.86 and 189,751.29 is: 261,864.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,713.10 : 472,958.86 = 189,751.29 : x
  2. Step 2: Convert to fraction form
    342,713.10/472,958.86 = 189,751.29/x
  3. Step 3: Cross multiply
    342,713.10x = 472,958.86 × 189,751.29
  4. Step 4: Simplify right side
    342,713.10x = 89,744,553,801.93
  5. Step 5: Solve for x
    x = 89,744,553,801.93/342,713.10
  6. Step 6: Final answer
    x = 261,864.96

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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.