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Finding the Fourth Proportional to 361,590.26, 498,961 and 200,431.59

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Solution

The fourth proportional to 361,590.26, 498,961 and 200,431.59 is: 276,576.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,590.26 : 498,961 = 200,431.59 : x
  2. Step 2: Convert to fraction form
    361,590.26/498,961 = 200,431.59/x
  3. Step 3: Cross multiply
    361,590.26x = 498,961 × 200,431.59
  4. Step 4: Simplify right side
    361,590.26x = 100,007,546,577.99
  5. Step 5: Solve for x
    x = 100,007,546,577.99/361,590.26
  6. Step 6: Final answer
    x = 276,576.99

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1.5x scale

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.