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Finding the Fourth Proportional to 342,667.86, 513,706.32 and 165,299.46

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Solution

The fourth proportional to 342,667.86, 513,706.32 and 165,299.46 is: 247,806.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,667.86 : 513,706.32 = 165,299.46 : x
  2. Step 2: Convert to fraction form
    342,667.86/513,706.32 = 165,299.46/x
  3. Step 3: Cross multiply
    342,667.86x = 513,706.32 × 165,299.46
  4. Step 4: Simplify right side
    342,667.86x = 84,915,377,294.59
  5. Step 5: Solve for x
    x = 84,915,377,294.59/342,667.86
  6. Step 6: Final answer
    x = 247,806.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.