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Finding the Fourth Proportional to 413,883.80, 620,739.30 and 177,234.20

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Solution

The fourth proportional to 413,883.80, 620,739.30 and 177,234.20 is: 265,814.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,883.80 : 620,739.30 = 177,234.20 : x
  2. Step 2: Convert to fraction form
    413,883.80/620,739.30 = 177,234.20/x
  3. Step 3: Cross multiply
    413,883.80x = 620,739.30 × 177,234.20
  4. Step 4: Simplify right side
    413,883.80x = 110,016,233,244.06
  5. Step 5: Solve for x
    x = 110,016,233,244.06/413,883.80
  6. Step 6: Final answer
    x = 265,814.30

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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.