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Finding the Fourth Proportional to 412,880.40, 619,338.60 and 113,353.20

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Solution

The fourth proportional to 412,880.40, 619,338.60 and 113,353.20 is: 170,034.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,880.40 : 619,338.60 = 113,353.20 : x
  2. Step 2: Convert to fraction form
    412,880.40/619,338.60 = 113,353.20/x
  3. Step 3: Cross multiply
    412,880.40x = 619,338.60 × 113,353.20
  4. Step 4: Simplify right side
    412,880.40x = 70,204,012,193.52
  5. Step 5: Solve for x
    x = 70,204,012,193.52/412,880.40
  6. Step 6: Final answer
    x = 170,034.74

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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.