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Finding the Fourth Proportional to 285,648.84, 394,320.97 and 199,944.42

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Solution

The fourth proportional to 285,648.84, 394,320.97 and 199,944.42 is: 276,011.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,648.84 : 394,320.97 = 199,944.42 : x
  2. Step 2: Convert to fraction form
    285,648.84/394,320.97 = 199,944.42/x
  3. Step 3: Cross multiply
    285,648.84x = 394,320.97 × 199,944.42
  4. Step 4: Simplify right side
    285,648.84x = 78,842,275,668.88
  5. Step 5: Solve for x
    x = 78,842,275,668.88/285,648.84
  6. Step 6: Final answer
    x = 276,011.19

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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.