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Finding the Fourth Proportional to 361,424.66, 498,768.96 and 200,282.39

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Solution

The fourth proportional to 361,424.66, 498,768.96 and 200,282.39 is: 276,391.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,424.66 : 498,768.96 = 200,282.39 : x
  2. Step 2: Convert to fraction form
    361,424.66/498,768.96 = 200,282.39/x
  3. Step 3: Cross multiply
    361,424.66x = 498,768.96 × 200,282.39
  4. Step 4: Simplify right side
    361,424.66x = 99,894,639,366.61
  5. Step 5: Solve for x
    x = 99,894,639,366.61/361,424.66
  6. Step 6: Final answer
    x = 276,391.32

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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.