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Finding the Fourth Proportional to 312,561.33, 431,334.21 and 169,321.95

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Solution

The fourth proportional to 312,561.33, 431,334.21 and 169,321.95 is: 233,664.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,561.33 : 431,334.21 = 169,321.95 : x
  2. Step 2: Convert to fraction form
    312,561.33/431,334.21 = 169,321.95/x
  3. Step 3: Cross multiply
    312,561.33x = 431,334.21 × 169,321.95
  4. Step 4: Simplify right side
    312,561.33x = 73,034,349,538.91
  5. Step 5: Solve for x
    x = 73,034,349,538.91/312,561.33
  6. Step 6: Final answer
    x = 233,664.06

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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.