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Finding the Fourth Proportional to 309,947.60, 464,964.60 and 132,453.20

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Solution

The fourth proportional to 309,947.60, 464,964.60 and 132,453.20 is: 198,698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,947.60 : 464,964.60 = 132,453.20 : x
  2. Step 2: Convert to fraction form
    309,947.60/464,964.60 = 132,453.20/x
  3. Step 3: Cross multiply
    309,947.60x = 464,964.60 × 132,453.20
  4. Step 4: Simplify right side
    309,947.60x = 61,586,049,156.72
  5. Step 5: Solve for x
    x = 61,586,049,156.72/309,947.60
  6. Step 6: Final answer
    x = 198,698.26

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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.