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Finding the Fourth Proportional to 312,782.42, 431,639.32 and 169,542.42

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Solution

The fourth proportional to 312,782.42, 431,639.32 and 169,542.42 is: 233,968.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,782.42 : 431,639.32 = 169,542.42 : x
  2. Step 2: Convert to fraction form
    312,782.42/431,639.32 = 169,542.42/x
  3. Step 3: Cross multiply
    312,782.42x = 431,639.32 × 169,542.42
  4. Step 4: Simplify right side
    312,782.42x = 73,181,175,583.31
  5. Step 5: Solve for x
    x = 73,181,175,583.31/312,782.42
  6. Step 6: Final answer
    x = 233,968.32

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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.