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Finding the Fourth Proportional to 313,033.09, 431,985.67 and 177,064.11

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Solution

The fourth proportional to 313,033.09, 431,985.67 and 177,064.11 is: 244,348.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,033.09 : 431,985.67 = 177,064.11 : x
  2. Step 2: Convert to fraction form
    313,033.09/431,985.67 = 177,064.11/x
  3. Step 3: Cross multiply
    313,033.09x = 431,985.67 × 177,064.11
  4. Step 4: Simplify right side
    313,033.09x = 76,489,158,191.30
  5. Step 5: Solve for x
    x = 76,489,158,191.30/313,033.09
  6. Step 6: Final answer
    x = 244,348.48

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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.