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Finding the Fourth Proportional to 647,605.90, 971,408.85 and 411,993.10

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Solution

The fourth proportional to 647,605.90, 971,408.85 and 411,993.10 is: 617,989.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,605.90 : 971,408.85 = 411,993.10 : x
  2. Step 2: Convert to fraction form
    647,605.90/971,408.85 = 411,993.10/x
  3. Step 3: Cross multiply
    647,605.90x = 971,408.85 × 411,993.10
  4. Step 4: Simplify right side
    647,605.90x = 400,213,743,478.94
  5. Step 5: Solve for x
    x = 400,213,743,478.94/647,605.90
  6. Step 6: Final answer
    x = 617,989.65

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

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