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Finding the Fourth Proportional to 413,512.30, 620,268.45 and 133,057.90

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Solution

The fourth proportional to 413,512.30, 620,268.45 and 133,057.90 is: 199,586.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,512.30 : 620,268.45 = 133,057.90 : x
  2. Step 2: Convert to fraction form
    413,512.30/620,268.45 = 133,057.90/x
  3. Step 3: Cross multiply
    413,512.30x = 620,268.45 × 133,057.90
  4. Step 4: Simplify right side
    413,512.30x = 82,531,617,393.26
  5. Step 5: Solve for x
    x = 82,531,617,393.26/413,512.30
  6. Step 6: Final answer
    x = 199,586.85

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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.