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Finding the Fourth Proportional to 312,540.31, 431,304.21 and 169,300.77

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Solution

The fourth proportional to 312,540.31, 431,304.21 and 169,300.77 is: 233,634.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,540.31 : 431,304.21 = 169,300.77 : x
  2. Step 2: Convert to fraction form
    312,540.31/431,304.21 = 169,300.77/x
  3. Step 3: Cross multiply
    312,540.31x = 431,304.21 × 169,300.77
  4. Step 4: Simplify right side
    312,540.31x = 73,020,134,857.24
  5. Step 5: Solve for x
    x = 73,020,134,857.24/312,540.31
  6. Step 6: Final answer
    x = 233,634.29

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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.