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Finding the Fourth Proportional to 411,687.40, 617,531.10 and 407,750.80

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Solution

The fourth proportional to 411,687.40, 617,531.10 and 407,750.80 is: 611,626.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,687.40 : 617,531.10 = 407,750.80 : x
  2. Step 2: Convert to fraction form
    411,687.40/617,531.10 = 407,750.80/x
  3. Step 3: Cross multiply
    411,687.40x = 617,531.10 × 407,750.80
  4. Step 4: Simplify right side
    411,687.40x = 251,798,800,049.88
  5. Step 5: Solve for x
    x = 251,798,800,049.88/411,687.40
  6. Step 6: Final answer
    x = 611,626.20

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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.