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Finding the Fourth Proportional to 699,895.64, 965,856.21 and 409,563.02

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Solution

The fourth proportional to 699,895.64, 965,856.21 and 409,563.02 is: 565,197.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,895.64 : 965,856.21 = 409,563.02 : x
  2. Step 2: Convert to fraction form
    699,895.64/965,856.21 = 409,563.02/x
  3. Step 3: Cross multiply
    699,895.64x = 965,856.21 × 409,563.02
  4. Step 4: Simplify right side
    699,895.64x = 395,578,986,253.35
  5. Step 5: Solve for x
    x = 395,578,986,253.35/699,895.64
  6. Step 6: Final answer
    x = 565,197.10

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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.