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Finding the Fourth Proportional to 361,326.96, 498,601.92 and 200,188.80

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Solution

The fourth proportional to 361,326.96, 498,601.92 and 200,188.80 is: 276,244.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,326.96 : 498,601.92 = 200,188.80 : x
  2. Step 2: Convert to fraction form
    361,326.96/498,601.92 = 200,188.80/x
  3. Step 3: Cross multiply
    361,326.96x = 498,601.92 × 200,188.80
  4. Step 4: Simplify right side
    361,326.96x = 99,814,520,042.50
  5. Step 5: Solve for x
    x = 99,814,520,042.50/361,326.96
  6. Step 6: Final answer
    x = 276,244.32

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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.