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Finding the Fourth Proportional to 413,843.80, 620,679.30 and 177,194.20

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Solution

The fourth proportional to 413,843.80, 620,679.30 and 177,194.20 is: 265,754.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,843.80 : 620,679.30 = 177,194.20 : x
  2. Step 2: Convert to fraction form
    413,843.80/620,679.30 = 177,194.20/x
  3. Step 3: Cross multiply
    413,843.80x = 620,679.30 × 177,194.20
  4. Step 4: Simplify right side
    413,843.80x = 109,980,772,020.06
  5. Step 5: Solve for x
    x = 109,980,772,020.06/413,843.80
  6. Step 6: Final answer
    x = 265,754.31

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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.