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Finding the Fourth Proportional to 413,994.26, 620,991.40 and 133,511.52

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Solution

The fourth proportional to 413,994.26, 620,991.40 and 133,511.52 is: 200,267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,994.26 : 620,991.40 = 133,511.52 : x
  2. Step 2: Convert to fraction form
    413,994.26/620,991.40 = 133,511.52/x
  3. Step 3: Cross multiply
    413,994.26x = 620,991.40 × 133,511.52
  4. Step 4: Simplify right side
    413,994.26x = 82,909,505,720.93
  5. Step 5: Solve for x
    x = 82,909,505,720.93/413,994.26
  6. Step 6: Final answer
    x = 200,267.28

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1.5x scale

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.