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Finding the Fourth Proportional to 311,238.62, 466,898.63 and 111,581.31

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Solution

The fourth proportional to 311,238.62, 466,898.63 and 111,581.31 is: 167,386.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,238.62 : 466,898.63 = 111,581.31 : x
  2. Step 2: Convert to fraction form
    311,238.62/466,898.63 = 111,581.31/x
  3. Step 3: Cross multiply
    311,238.62x = 466,898.63 × 111,581.31
  4. Step 4: Simplify right side
    311,238.62x = 52,097,160,214.70
  5. Step 5: Solve for x
    x = 52,097,160,214.70/311,238.62
  6. Step 6: Final answer
    x = 167,386.56

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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.