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Finding the Fourth Proportional to 330,897, 496,298.63 and 106,227.85

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Solution

The fourth proportional to 330,897, 496,298.63 and 106,227.85 is: 159,326.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,897 : 496,298.63 = 106,227.85 : x
  2. Step 2: Convert to fraction form
    330,897/496,298.63 = 106,227.85/x
  3. Step 3: Cross multiply
    330,897x = 496,298.63 × 106,227.85
  4. Step 4: Simplify right side
    330,897x = 52,720,735,447.67
  5. Step 5: Solve for x
    x = 52,720,735,447.67/330,897
  6. Step 6: Final answer
    x = 159,326.73

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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.