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Finding the Fourth Proportional to 361,762.98, 499,234.26 and 200,632.92

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Solution

The fourth proportional to 361,762.98, 499,234.26 and 200,632.92 is: 276,874.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,762.98 : 499,234.26 = 200,632.92 : x
  2. Step 2: Convert to fraction form
    361,762.98/499,234.26 = 200,632.92/x
  3. Step 3: Cross multiply
    361,762.98x = 499,234.26 × 200,632.92
  4. Step 4: Simplify right side
    361,762.98x = 100,162,827,347.84
  5. Step 5: Solve for x
    x = 100,162,827,347.84/361,762.98
  6. Step 6: Final answer
    x = 276,874.18

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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.