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Finding the Fourth Proportional to 541,522.36, 811,538.34 and 461,144.44

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Solution

The fourth proportional to 541,522.36, 811,538.34 and 461,144.44 is: 691,082.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,522.36 : 811,538.34 = 461,144.44 : x
  2. Step 2: Convert to fraction form
    541,522.36/811,538.34 = 461,144.44/x
  3. Step 3: Cross multiply
    541,522.36x = 811,538.34 × 461,144.44
  4. Step 4: Simplify right side
    541,522.36x = 374,236,393,337.83
  5. Step 5: Solve for x
    x = 374,236,393,337.83/541,522.36
  6. Step 6: Final answer
    x = 691,082.07

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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.