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Finding the Fourth Proportional to 286,593.90, 394,816.02 and 200,391.59

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Solution

The fourth proportional to 286,593.90, 394,816.02 and 200,391.59 is: 276,062.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,593.90 : 394,816.02 = 200,391.59 : x
  2. Step 2: Convert to fraction form
    286,593.90/394,816.02 = 200,391.59/x
  3. Step 3: Cross multiply
    286,593.90x = 394,816.02 × 200,391.59
  4. Step 4: Simplify right side
    286,593.90x = 79,117,809,147.21
  5. Step 5: Solve for x
    x = 79,117,809,147.21/286,593.90
  6. Step 6: Final answer
    x = 276,062.44

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1.5x scale

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.