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Finding the Fourth Proportional to 311,906.14, 430,420.76 and 175,938.10

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Solution

The fourth proportional to 311,906.14, 430,420.76 and 175,938.10 is: 242,789.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,906.14 : 430,420.76 = 175,938.10 : x
  2. Step 2: Convert to fraction form
    311,906.14/430,420.76 = 175,938.10/x
  3. Step 3: Cross multiply
    311,906.14x = 430,420.76 × 175,938.10
  4. Step 4: Simplify right side
    311,906.14x = 75,727,410,714.96
  5. Step 5: Solve for x
    x = 75,727,410,714.96/311,906.14
  6. Step 6: Final answer
    x = 242,789.10

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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.