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Finding the Fourth Proportional to 313,780.34, 433,020.26 and 170,540.42

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Solution

The fourth proportional to 313,780.34, 433,020.26 and 170,540.42 is: 235,347.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,780.34 : 433,020.26 = 170,540.42 : x
  2. Step 2: Convert to fraction form
    313,780.34/433,020.26 = 170,540.42/x
  3. Step 3: Cross multiply
    313,780.34x = 433,020.26 × 170,540.42
  4. Step 4: Simplify right side
    313,780.34x = 73,847,456,156.21
  5. Step 5: Solve for x
    x = 73,847,456,156.21/313,780.34
  6. Step 6: Final answer
    x = 235,347.62

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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.