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Finding the Fourth Proportional to 312,422.09, 431,142.90 and 169,182.37

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Solution

The fourth proportional to 312,422.09, 431,142.90 and 169,182.37 is: 233,471.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,422.09 : 431,142.90 = 169,182.37 : x
  2. Step 2: Convert to fraction form
    312,422.09/431,142.90 = 169,182.37/x
  3. Step 3: Cross multiply
    312,422.09x = 431,142.90 × 169,182.37
  4. Step 4: Simplify right side
    312,422.09x = 72,941,775,474.96
  5. Step 5: Solve for x
    x = 72,941,775,474.96/312,422.09
  6. Step 6: Final answer
    x = 233,471.89

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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.