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Finding the Fourth Proportional to 577,906.58, 797,467.78 and 323,208.56

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Solution

The fourth proportional to 577,906.58, 797,467.78 and 323,208.56 is: 446,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,906.58 : 797,467.78 = 323,208.56 : x
  2. Step 2: Convert to fraction form
    577,906.58/797,467.78 = 323,208.56/x
  3. Step 3: Cross multiply
    577,906.58x = 797,467.78 × 323,208.56
  4. Step 4: Simplify right side
    577,906.58x = 257,748,415,217.88
  5. Step 5: Solve for x
    x = 257,748,415,217.88/577,906.58
  6. Step 6: Final answer
    x = 446,003.60

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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.