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Finding the Fourth Proportional to 361,284.78, 498,573 and 200,150.26

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Solution

The fourth proportional to 361,284.78, 498,573 and 200,150.26 is: 276,207.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,284.78 : 498,573 = 200,150.26 : x
  2. Step 2: Convert to fraction form
    361,284.78/498,573 = 200,150.26/x
  3. Step 3: Cross multiply
    361,284.78x = 498,573 × 200,150.26
  4. Step 4: Simplify right side
    361,284.78x = 99,789,516,202.20
  5. Step 5: Solve for x
    x = 99,789,516,202.20/361,284.78
  6. Step 6: Final answer
    x = 276,207.37

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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.