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Finding the Fourth Proportional to 312,551.46, 431,322.16 and 169,311.16

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Solution

The fourth proportional to 312,551.46, 431,322.16 and 169,311.16 is: 233,650.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,551.46 : 431,322.16 = 169,311.16 : x
  2. Step 2: Convert to fraction form
    312,551.46/431,322.16 = 169,311.16/x
  3. Step 3: Cross multiply
    312,551.46x = 431,322.16 × 169,311.16
  4. Step 4: Simplify right side
    312,551.46x = 73,027,655,243.31
  5. Step 5: Solve for x
    x = 73,027,655,243.31/312,551.46
  6. Step 6: Final answer
    x = 233,650.02

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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.