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Finding the Fourth Proportional to 6,493,872.80, 9,740,809.20 and 2,948,016.80

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Solution

The fourth proportional to 6,493,872.80, 9,740,809.20 and 2,948,016.80 is: 4,422,025.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493,872.80 : 9,740,809.20 = 2,948,016.80 : x
  2. Step 2: Convert to fraction form
    6,493,872.80/9,740,809.20 = 2,948,016.80/x
  3. Step 3: Cross multiply
    6,493,872.80x = 9,740,809.20 × 2,948,016.80
  4. Step 4: Simplify right side
    6,493,872.80x = 28,716,069,167,194.55
  5. Step 5: Solve for x
    x = 28,716,069,167,194.55/6,493,872.80
  6. Step 6: Final answer
    x = 4,422,025.20

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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.