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Finding the Fourth Proportional to 313,729.35, 432,945.34 and 177,789.20

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Solution

The fourth proportional to 313,729.35, 432,945.34 and 177,789.20 is: 245,348.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,729.35 : 432,945.34 = 177,789.20 : x
  2. Step 2: Convert to fraction form
    313,729.35/432,945.34 = 177,789.20/x
  3. Step 3: Cross multiply
    313,729.35x = 432,945.34 × 177,789.20
  4. Step 4: Simplify right side
    313,729.35x = 76,973,003,033.13
  5. Step 5: Solve for x
    x = 76,973,003,033.13/313,729.35
  6. Step 6: Final answer
    x = 245,348.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.