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Finding the Fourth Proportional to 309,900.40, 464,850.60 and 110,227.30

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Solution

The fourth proportional to 309,900.40, 464,850.60 and 110,227.30 is: 165,340.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,900.40 : 464,850.60 = 110,227.30 : x
  2. Step 2: Convert to fraction form
    309,900.40/464,850.60 = 110,227.30/x
  3. Step 3: Cross multiply
    309,900.40x = 464,850.60 × 110,227.30
  4. Step 4: Simplify right side
    309,900.40x = 51,239,226,541.38
  5. Step 5: Solve for x
    x = 51,239,226,541.38/309,900.40
  6. Step 6: Final answer
    x = 165,340.95

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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.