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Finding the Fourth Proportional to 647,604.40, 971,406.60 and 411,991.60

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Solution

The fourth proportional to 647,604.40, 971,406.60 and 411,991.60 is: 617,987.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,604.40 : 971,406.60 = 411,991.60 : x
  2. Step 2: Convert to fraction form
    647,604.40/971,406.60 = 411,991.60/x
  3. Step 3: Cross multiply
    647,604.40x = 971,406.60 × 411,991.60
  4. Step 4: Simplify right side
    647,604.40x = 400,211,359,384.56
  5. Step 5: Solve for x
    x = 400,211,359,384.56/647,604.40
  6. Step 6: Final answer
    x = 617,987.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.