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Finding the Fourth Proportional to 311,012.40, 466,576.20 and 100,657.20

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Solution

The fourth proportional to 311,012.40, 466,576.20 and 100,657.20 is: 151,004.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,012.40 : 466,576.20 = 100,657.20 : x
  2. Step 2: Convert to fraction form
    311,012.40/466,576.20 = 100,657.20/x
  3. Step 3: Cross multiply
    311,012.40x = 466,576.20 × 100,657.20
  4. Step 4: Simplify right side
    311,012.40x = 46,964,253,878.64
  5. Step 5: Solve for x
    x = 46,964,253,878.64/311,012.40
  6. Step 6: Final answer
    x = 151,004.44

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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.