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Finding the Fourth Proportional to 699,895.26, 965,855.70 and 409,562.64

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Solution

The fourth proportional to 699,895.26, 965,855.70 and 409,562.64 is: 565,196.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,895.26 : 965,855.70 = 409,562.64 : x
  2. Step 2: Convert to fraction form
    699,895.26/965,855.70 = 409,562.64/x
  3. Step 3: Cross multiply
    699,895.26x = 965,855.70 × 409,562.64
  4. Step 4: Simplify right side
    699,895.26x = 395,578,410,351.05
  5. Step 5: Solve for x
    x = 395,578,410,351.05/699,895.26
  6. Step 6: Final answer
    x = 565,196.58

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