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Finding the Fourth Proportional to 461,676.85, 692,759.10 and 327,607.25

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Solution

The fourth proportional to 461,676.85, 692,759.10 and 327,607.25 is: 491,583.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,676.85 : 692,759.10 = 327,607.25 : x
  2. Step 2: Convert to fraction form
    461,676.85/692,759.10 = 327,607.25/x
  3. Step 3: Cross multiply
    461,676.85x = 692,759.10 × 327,607.25
  4. Step 4: Simplify right side
    461,676.85x = 226,952,903,663.48
  5. Step 5: Solve for x
    x = 226,952,903,663.48/461,676.85
  6. Step 6: Final answer
    x = 491,583.90

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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.