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Finding the Fourth Proportional to 311,411.28, 429,747.56 and 168,171.32

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Solution

The fourth proportional to 311,411.28, 429,747.56 and 168,171.32 is: 232,076.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,411.28 : 429,747.56 = 168,171.32 : x
  2. Step 2: Convert to fraction form
    311,411.28/429,747.56 = 168,171.32/x
  3. Step 3: Cross multiply
    311,411.28x = 429,747.56 × 168,171.32
  4. Step 4: Simplify right side
    311,411.28x = 72,271,214,431.98
  5. Step 5: Solve for x
    x = 72,271,214,431.98/311,411.28
  6. Step 6: Final answer
    x = 232,076.42

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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.