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Finding the Fourth Proportional to 413,847.40, 620,879.10 and 133,371.40

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Solution

The fourth proportional to 413,847.40, 620,879.10 and 133,371.40 is: 200,091.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,847.40 : 620,879.10 = 133,371.40 : x
  2. Step 2: Convert to fraction form
    413,847.40/620,879.10 = 133,371.40/x
  3. Step 3: Cross multiply
    413,847.40x = 620,879.10 × 133,371.40
  4. Step 4: Simplify right side
    413,847.40x = 82,807,514,797.74
  5. Step 5: Solve for x
    x = 82,807,514,797.74/413,847.40
  6. Step 6: Final answer
    x = 200,091.91

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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.