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Finding the Fourth Proportional to 312,418.27, 431,137.43 and 169,178.42

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Solution

The fourth proportional to 312,418.27, 431,137.43 and 169,178.42 is: 233,466.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,418.27 : 431,137.43 = 169,178.42 : x
  2. Step 2: Convert to fraction form
    312,418.27/431,137.43 = 169,178.42/x
  3. Step 3: Cross multiply
    312,418.27x = 431,137.43 × 169,178.42
  4. Step 4: Simplify right side
    312,418.27x = 72,939,151,028.26
  5. Step 5: Solve for x
    x = 72,939,151,028.26/312,418.27
  6. Step 6: Final answer
    x = 233,466.35

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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.