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Finding the Fourth Proportional to 326,451.96, 450,387 and 205,600.77

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Solution

The fourth proportional to 326,451.96, 450,387 and 205,600.77 is: 283,655.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,451.96 : 450,387 = 205,600.77 : x
  2. Step 2: Convert to fraction form
    326,451.96/450,387 = 205,600.77/x
  3. Step 3: Cross multiply
    326,451.96x = 450,387 × 205,600.77
  4. Step 4: Simplify right side
    326,451.96x = 92,599,913,997.99
  5. Step 5: Solve for x
    x = 92,599,913,997.99/326,451.96
  6. Step 6: Final answer
    x = 283,655.56

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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.