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Finding the Fourth Proportional to 397,903.22, 596,855.64 and 327,634.92

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Solution

The fourth proportional to 397,903.22, 596,855.64 and 327,634.92 is: 491,453.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,903.22 : 596,855.64 = 327,634.92 : x
  2. Step 2: Convert to fraction form
    397,903.22/596,855.64 = 327,634.92/x
  3. Step 3: Cross multiply
    397,903.22x = 596,855.64 × 327,634.92
  4. Step 4: Simplify right side
    397,903.22x = 195,550,749,862.95
  5. Step 5: Solve for x
    x = 195,550,749,862.95/397,903.22
  6. Step 6: Final answer
    x = 491,453.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.