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Finding the Fourth Proportional to 493,777.24, 681,164.22 and 323,987.80

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Solution

The fourth proportional to 493,777.24, 681,164.22 and 323,987.80 is: 446,940.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,777.24 : 681,164.22 = 323,987.80 : x
  2. Step 2: Convert to fraction form
    493,777.24/681,164.22 = 323,987.80/x
  3. Step 3: Cross multiply
    493,777.24x = 681,164.22 × 323,987.80
  4. Step 4: Simplify right side
    493,777.24x = 220,688,897,076.52
  5. Step 5: Solve for x
    x = 220,688,897,076.52/493,777.24
  6. Step 6: Final answer
    x = 446,940.20

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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.