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Finding the Fourth Proportional to 647,610.40, 971,415.60 and 411,997.60

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Solution

The fourth proportional to 647,610.40, 971,415.60 and 411,997.60 is: 617,996.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,610.40 : 971,415.60 = 411,997.60 : x
  2. Step 2: Convert to fraction form
    647,610.40/971,415.60 = 411,997.60/x
  3. Step 3: Cross multiply
    647,610.40x = 971,415.60 × 411,997.60
  4. Step 4: Simplify right side
    647,610.40x = 400,220,895,802.56
  5. Step 5: Solve for x
    x = 400,220,895,802.56/647,610.40
  6. Step 6: Final answer
    x = 617,996.40

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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.