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Finding the Fourth Proportional to 313,964.80, 470,947.20 and 100,732.30

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Solution

The fourth proportional to 313,964.80, 470,947.20 and 100,732.30 is: 151,098.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,964.80 : 470,947.20 = 100,732.30 : x
  2. Step 2: Convert to fraction form
    313,964.80/470,947.20 = 100,732.30/x
  3. Step 3: Cross multiply
    313,964.80x = 470,947.20 × 100,732.30
  4. Step 4: Simplify right side
    313,964.80x = 47,439,594,634.56
  5. Step 5: Solve for x
    x = 47,439,594,634.56/313,964.80
  6. Step 6: Final answer
    x = 151,098.45

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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.