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Finding the Fourth Proportional to 500,456.93, 690,680.22 and 285,629.54

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Solution

The fourth proportional to 500,456.93, 690,680.22 and 285,629.54 is: 394,197.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,456.93 : 690,680.22 = 285,629.54 : x
  2. Step 2: Convert to fraction form
    500,456.93/690,680.22 = 285,629.54/x
  3. Step 3: Cross multiply
    500,456.93x = 690,680.22 × 285,629.54
  4. Step 4: Simplify right side
    500,456.93x = 197,278,673,525.70
  5. Step 5: Solve for x
    x = 197,278,673,525.70/500,456.93
  6. Step 6: Final answer
    x = 394,197.11

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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.