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Finding the Fourth Proportional to 312,707.80, 431,537.13 and 169,467.84

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Solution

The fourth proportional to 312,707.80, 431,537.13 and 169,467.84 is: 233,865.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,707.80 : 431,537.13 = 169,467.84 : x
  2. Step 2: Convert to fraction form
    312,707.80/431,537.13 = 169,467.84/x
  3. Step 3: Cross multiply
    312,707.80x = 431,537.13 × 169,467.84
  4. Step 4: Simplify right side
    312,707.80x = 73,131,665,300.90
  5. Step 5: Solve for x
    x = 73,131,665,300.90/312,707.80
  6. Step 6: Final answer
    x = 233,865.82

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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.