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Finding the Fourth Proportional to 2,978,049.52, 4,106,849.88 and 2,000,198.08

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Solution

The fourth proportional to 2,978,049.52, 4,106,849.88 and 2,000,198.08 is: 2,758,353.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978,049.52 : 4,106,849.88 = 2,000,198.08 : x
  2. Step 2: Convert to fraction form
    2,978,049.52/4,106,849.88 = 2,000,198.08/x
  3. Step 3: Cross multiply
    2,978,049.52x = 4,106,849.88 × 2,000,198.08
  4. Step 4: Simplify right side
    2,978,049.52x = 8,214,513,244,824.23
  5. Step 5: Solve for x
    x = 8,214,513,244,824.23/2,978,049.52
  6. Step 6: Final answer
    x = 2,758,353.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.