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Finding the Fourth Proportional to 361,424.75, 498,769.08 and 200,282.49

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Solution

The fourth proportional to 361,424.75, 498,769.08 and 200,282.49 is: 276,391.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,424.75 : 498,769.08 = 200,282.49 : x
  2. Step 2: Convert to fraction form
    361,424.75/498,769.08 = 200,282.49/x
  3. Step 3: Cross multiply
    361,424.75x = 498,769.08 × 200,282.49
  4. Step 4: Simplify right side
    361,424.75x = 99,894,713,277.41
  5. Step 5: Solve for x
    x = 99,894,713,277.41/361,424.75
  6. Step 6: Final answer
    x = 276,391.46

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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.