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Finding the Fourth Proportional to 6,472,238.40, 9,711,079.20 and 3,476,923.20

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Solution

The fourth proportional to 6,472,238.40, 9,711,079.20 and 3,476,923.20 is: 5,216,846.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472,238.40 : 9,711,079.20 = 3,476,923.20 : x
  2. Step 2: Convert to fraction form
    6,472,238.40/9,711,079.20 = 3,476,923.20/x
  3. Step 3: Cross multiply
    6,472,238.40x = 9,711,079.20 × 3,476,923.20
  4. Step 4: Simplify right side
    6,472,238.40x = 33,764,676,567,517.44
  5. Step 5: Solve for x
    x = 33,764,676,567,517.44/6,472,238.40
  6. Step 6: Final answer
    x = 5,216,846.86

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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.