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Finding the Fourth Proportional to 311,052.89, 465,832.01 and 177,528.38

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Solution

The fourth proportional to 311,052.89, 465,832.01 and 177,528.38 is: 265,866.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,052.89 : 465,832.01 = 177,528.38 : x
  2. Step 2: Convert to fraction form
    311,052.89/465,832.01 = 177,528.38/x
  3. Step 3: Cross multiply
    311,052.89x = 465,832.01 × 177,528.38
  4. Step 4: Simplify right side
    311,052.89x = 82,698,400,202.10
  5. Step 5: Solve for x
    x = 82,698,400,202.10/311,052.89
  6. Step 6: Final answer
    x = 265,866.04

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Why These Related Problems?

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