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Finding the Fourth Proportional to 361,782.63, 499,260.02 and 200,662.35

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Solution

The fourth proportional to 361,782.63, 499,260.02 and 200,662.35 is: 276,914.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,782.63 : 499,260.02 = 200,662.35 : x
  2. Step 2: Convert to fraction form
    361,782.63/499,260.02 = 200,662.35/x
  3. Step 3: Cross multiply
    361,782.63x = 499,260.02 × 200,662.35
  4. Step 4: Simplify right side
    361,782.63x = 100,182,688,874.25
  5. Step 5: Solve for x
    x = 100,182,688,874.25/361,782.63
  6. Step 6: Final answer
    x = 276,914.04

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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.