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Finding the Fourth Proportional to 342,496.35, 472,834.97 and 206,564.58

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Solution

The fourth proportional to 342,496.35, 472,834.97 and 206,564.58 is: 285,173.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,496.35 : 472,834.97 = 206,564.58 : x
  2. Step 2: Convert to fraction form
    342,496.35/472,834.97 = 206,564.58/x
  3. Step 3: Cross multiply
    342,496.35x = 472,834.97 × 206,564.58
  4. Step 4: Simplify right side
    342,496.35x = 97,670,956,729.16
  5. Step 5: Solve for x
    x = 97,670,956,729.16/342,496.35
  6. Step 6: Final answer
    x = 285,173.72

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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.