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Finding the Fourth Proportional to 361,804.60, 499,320.23 and 200,711.58

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Solution

The fourth proportional to 361,804.60, 499,320.23 and 200,711.58 is: 276,998.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,804.60 : 499,320.23 = 200,711.58 : x
  2. Step 2: Convert to fraction form
    361,804.60/499,320.23 = 200,711.58/x
  3. Step 3: Cross multiply
    361,804.60x = 499,320.23 × 200,711.58
  4. Step 4: Simplify right side
    361,804.60x = 100,219,352,289.26
  5. Step 5: Solve for x
    x = 100,219,352,289.26/361,804.60
  6. Step 6: Final answer
    x = 276,998.56

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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.