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Finding the Fourth Proportional to 311,827.20, 430,281.60 and 177,734.40

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Solution

The fourth proportional to 311,827.20, 430,281.60 and 177,734.40 is: 245,250.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,827.20 : 430,281.60 = 177,734.40 : x
  2. Step 2: Convert to fraction form
    311,827.20/430,281.60 = 177,734.40/x
  3. Step 3: Cross multiply
    311,827.20x = 430,281.60 × 177,734.40
  4. Step 4: Simplify right side
    311,827.20x = 76,475,842,007.04
  5. Step 5: Solve for x
    x = 76,475,842,007.04/311,827.20
  6. Step 6: Final answer
    x = 245,250.71

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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.