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Finding the Fourth Proportional to 508,447.72, 701,657.94 and 282,092.68

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Solution

The fourth proportional to 508,447.72, 701,657.94 and 282,092.68 is: 389,287.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,447.72 : 701,657.94 = 282,092.68 : x
  2. Step 2: Convert to fraction form
    508,447.72/701,657.94 = 282,092.68/x
  3. Step 3: Cross multiply
    508,447.72x = 701,657.94 × 282,092.68
  4. Step 4: Simplify right side
    508,447.72x = 197,932,568,737.88
  5. Step 5: Solve for x
    x = 197,932,568,737.88/508,447.72
  6. Step 6: Final answer
    x = 389,287.95

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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.