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Finding the Fourth Proportional to 311,201.60, 466,629.60 and 133,678.40

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Solution

The fourth proportional to 311,201.60, 466,629.60 and 133,678.40 is: 200,443.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,201.60 : 466,629.60 = 133,678.40 : x
  2. Step 2: Convert to fraction form
    311,201.60/466,629.60 = 133,678.40/x
  3. Step 3: Cross multiply
    311,201.60x = 466,629.60 × 133,678.40
  4. Step 4: Simplify right side
    311,201.60x = 62,378,298,320.64
  5. Step 5: Solve for x
    x = 62,378,298,320.64/311,201.60
  6. Step 6: Final answer
    x = 200,443.37

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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.