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Finding the Fourth Proportional to 6,169,734.60, 9,250,713.90 and 2,578,000.20

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Solution

The fourth proportional to 6,169,734.60, 9,250,713.90 and 2,578,000.20 is: 3,865,375.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169,734.60 : 9,250,713.90 = 2,578,000.20 : x
  2. Step 2: Convert to fraction form
    6,169,734.60/9,250,713.90 = 2,578,000.20/x
  3. Step 3: Cross multiply
    6,169,734.60x = 9,250,713.90 × 2,578,000.20
  4. Step 4: Simplify right side
    6,169,734.60x = 23,848,342,284,342.78
  5. Step 5: Solve for x
    x = 23,848,342,284,342.78/6,169,734.60
  6. Step 6: Final answer
    x = 3,865,375.71

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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.