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Finding the Fourth Proportional to 4,978,716.55, 7,469,403.77 and 1,784,165.65

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Solution

The fourth proportional to 4,978,716.55, 7,469,403.77 and 1,784,165.65 is: 2,676,724.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978,716.55 : 7,469,403.77 = 1,784,165.65 : x
  2. Step 2: Convert to fraction form
    4,978,716.55/7,469,403.77 = 1,784,165.65/x
  3. Step 3: Cross multiply
    4,978,716.55x = 7,469,403.77 × 1,784,165.65
  4. Step 4: Simplify right side
    4,978,716.55x = 13,326,653,619,923.96
  5. Step 5: Solve for x
    x = 13,326,653,619,923.96/4,978,716.55
  6. Step 6: Final answer
    x = 2,676,724.71

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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.