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Finding the Fourth Proportional to 361,631.76, 499,081.32 and 200,537.28

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Solution

The fourth proportional to 361,631.76, 499,081.32 and 200,537.28 is: 276,757.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,631.76 : 499,081.32 = 200,537.28 : x
  2. Step 2: Convert to fraction form
    361,631.76/499,081.32 = 200,537.28/x
  3. Step 3: Cross multiply
    361,631.76x = 499,081.32 × 200,537.28
  4. Step 4: Simplify right side
    361,631.76x = 100,084,410,411.61
  5. Step 5: Solve for x
    x = 100,084,410,411.61/361,631.76
  6. Step 6: Final answer
    x = 276,757.80

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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.