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Finding the Fourth Proportional to 647,593.40, 971,390.10 and 411,980.60

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Solution

The fourth proportional to 647,593.40, 971,390.10 and 411,980.60 is: 617,970.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,593.40 : 971,390.10 = 411,980.60 : x
  2. Step 2: Convert to fraction form
    647,593.40/971,390.10 = 411,980.60/x
  3. Step 3: Cross multiply
    647,593.40x = 971,390.10 × 411,980.60
  4. Step 4: Simplify right side
    647,593.40x = 400,193,876,232.06
  5. Step 5: Solve for x
    x = 400,193,876,232.06/647,593.40
  6. Step 6: Final answer
    x = 617,970.90

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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.