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Finding the Fourth Proportional to 358,736.80, 538,105.20 and 201,272.80

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Solution

The fourth proportional to 358,736.80, 538,105.20 and 201,272.80 is: 301,909.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,736.80 : 538,105.20 = 201,272.80 : x
  2. Step 2: Convert to fraction form
    358,736.80/538,105.20 = 201,272.80/x
  3. Step 3: Cross multiply
    358,736.80x = 538,105.20 × 201,272.80
  4. Step 4: Simplify right side
    358,736.80x = 108,305,940,298.56
  5. Step 5: Solve for x
    x = 108,305,940,298.56/358,736.80
  6. Step 6: Final answer
    x = 301,909.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.