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Finding the Fourth Proportional to 491,310.72, 677,999.16 and 273,516.48

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Solution

The fourth proportional to 491,310.72, 677,999.16 and 273,516.48 is: 377,447.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,310.72 : 677,999.16 = 273,516.48 : x
  2. Step 2: Convert to fraction form
    491,310.72/677,999.16 = 273,516.48/x
  3. Step 3: Cross multiply
    491,310.72x = 677,999.16 × 273,516.48
  4. Step 4: Simplify right side
    491,310.72x = 185,443,943,686.16
  5. Step 5: Solve for x
    x = 185,443,943,686.16/491,310.72
  6. Step 6: Final answer
    x = 377,447.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.