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Finding the Fourth Proportional to 777,715, 1,073,246.70 and 420,019

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Solution

The fourth proportional to 777,715, 1,073,246.70 and 420,019 is: 579,626.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,715 : 1,073,246.70 = 420,019 : x
  2. Step 2: Convert to fraction form
    777,715/1,073,246.70 = 420,019/x
  3. Step 3: Cross multiply
    777,715x = 1,073,246.70 × 420,019
  4. Step 4: Simplify right side
    777,715x = 450,784,005,687.30
  5. Step 5: Solve for x
    x = 450,784,005,687.30/777,715
  6. Step 6: Final answer
    x = 579,626.22

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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.