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Finding the Fourth Proportional to 311,410.10, 466,942.35 and 133,886.90

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Solution

The fourth proportional to 311,410.10, 466,942.35 and 133,886.90 is: 200,756.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,410.10 : 466,942.35 = 133,886.90 : x
  2. Step 2: Convert to fraction form
    311,410.10/466,942.35 = 133,886.90/x
  3. Step 3: Cross multiply
    311,410.10x = 466,942.35 × 133,886.90
  4. Step 4: Simplify right side
    311,410.10x = 62,517,463,720.22
  5. Step 5: Solve for x
    x = 62,517,463,720.22/311,410.10
  6. Step 6: Final answer
    x = 200,756.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.