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Finding the Fourth Proportional to 311,904.11, 430,427.67 and 168,664.16

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Solution

The fourth proportional to 311,904.11, 430,427.67 and 168,664.16 is: 232,756.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,904.11 : 430,427.67 = 168,664.16 : x
  2. Step 2: Convert to fraction form
    311,904.11/430,427.67 = 168,664.16/x
  3. Step 3: Cross multiply
    311,904.11x = 430,427.67 × 168,664.16
  4. Step 4: Simplify right side
    311,904.11x = 72,597,721,401.31
  5. Step 5: Solve for x
    x = 72,597,721,401.31/311,904.11
  6. Step 6: Final answer
    x = 232,756.54

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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.