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Finding the Fourth Proportional to 313,981.96, 433,306.48 and 179,871.88

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Solution

The fourth proportional to 313,981.96, 433,306.48 and 179,871.88 is: 248,229.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,981.96 : 433,306.48 = 179,871.88 : x
  2. Step 2: Convert to fraction form
    313,981.96/433,306.48 = 179,871.88/x
  3. Step 3: Cross multiply
    313,981.96x = 433,306.48 × 179,871.88
  4. Step 4: Simplify right side
    313,981.96x = 77,939,651,173.78
  5. Step 5: Solve for x
    x = 77,939,651,173.78/313,981.96
  6. Step 6: Final answer
    x = 248,229.71

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Why These Related Problems?

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