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Finding the Fourth Proportional to 361,467.85, 498,854.42 and 200,338.33

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Solution

The fourth proportional to 361,467.85, 498,854.42 and 200,338.33 is: 276,482.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,467.85 : 498,854.42 = 200,338.33 : x
  2. Step 2: Convert to fraction form
    361,467.85/498,854.42 = 200,338.33/x
  3. Step 3: Cross multiply
    361,467.85x = 498,854.42 × 200,338.33
  4. Step 4: Simplify right side
    361,467.85x = 99,939,659,422.49
  5. Step 5: Solve for x
    x = 99,939,659,422.49/361,467.85
  6. Step 6: Final answer
    x = 276,482.85

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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.