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Finding the Fourth Proportional to 342,759.79, 472,861.83 and 206,716.33

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Solution

The fourth proportional to 342,759.79, 472,861.83 and 206,716.33 is: 285,180.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,759.79 : 472,861.83 = 206,716.33 : x
  2. Step 2: Convert to fraction form
    342,759.79/472,861.83 = 206,716.33/x
  3. Step 3: Cross multiply
    342,759.79x = 472,861.83 × 206,716.33
  4. Step 4: Simplify right side
    342,759.79x = 97,748,262,094.68
  5. Step 5: Solve for x
    x = 97,748,262,094.68/342,759.79
  6. Step 6: Final answer
    x = 285,180.07

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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.