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Finding the Fourth Proportional to 326,029.96, 450,001.38 and 198,775.72

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Solution

The fourth proportional to 326,029.96, 450,001.38 and 198,775.72 is: 274,359.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,029.96 : 450,001.38 = 198,775.72 : x
  2. Step 2: Convert to fraction form
    326,029.96/450,001.38 = 198,775.72/x
  3. Step 3: Cross multiply
    326,029.96x = 450,001.38 × 198,775.72
  4. Step 4: Simplify right side
    326,029.96x = 89,449,348,310.49
  5. Step 5: Solve for x
    x = 89,449,348,310.49/326,029.96
  6. Step 6: Final answer
    x = 274,359.29

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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.