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Finding the Fourth Proportional to 699,891.76, 965,850.86 and 409,559.14

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Solution

The fourth proportional to 699,891.76, 965,850.86 and 409,559.14 is: 565,191.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,891.76 : 965,850.86 = 409,559.14 : x
  2. Step 2: Convert to fraction form
    699,891.76/965,850.86 = 409,559.14/x
  3. Step 3: Cross multiply
    699,891.76x = 965,850.86 × 409,559.14
  4. Step 4: Simplify right side
    699,891.76x = 395,573,047,589.86
  5. Step 5: Solve for x
    x = 395,573,047,589.86/699,891.76
  6. Step 6: Final answer
    x = 565,191.75

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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.