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Finding the Fourth Proportional to 361,705.10, 499,152.17 and 200,556

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Solution

The fourth proportional to 361,705.10, 499,152.17 and 200,556 is: 276,766.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,705.10 : 499,152.17 = 200,556 : x
  2. Step 2: Convert to fraction form
    361,705.10/499,152.17 = 200,556/x
  3. Step 3: Cross multiply
    361,705.10x = 499,152.17 × 200,556
  4. Step 4: Simplify right side
    361,705.10x = 100,107,963,107.91
  5. Step 5: Solve for x
    x = 100,107,963,107.91/361,705.10
  6. Step 6: Final answer
    x = 276,766.80

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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.