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Finding the Fourth Proportional to 361,426.41, 498,771.41 and 200,284.15

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Solution

The fourth proportional to 361,426.41, 498,771.41 and 200,284.15 is: 276,393.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,426.41 : 498,771.41 = 200,284.15 : x
  2. Step 2: Convert to fraction form
    361,426.41/498,771.41 = 200,284.15/x
  3. Step 3: Cross multiply
    361,426.41x = 498,771.41 × 200,284.15
  4. Step 4: Simplify right side
    361,426.41x = 99,896,007,896.15
  5. Step 5: Solve for x
    x = 99,896,007,896.15/361,426.41
  6. Step 6: Final answer
    x = 276,393.77

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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.