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Finding the Fourth Proportional to 354,897, 532,083.06 and 214,624.44

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Solution

The fourth proportional to 354,897, 532,083.06 and 214,624.44 is: 321,777.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,897 : 532,083.06 = 214,624.44 : x
  2. Step 2: Convert to fraction form
    354,897/532,083.06 = 214,624.44/x
  3. Step 3: Cross multiply
    354,897x = 532,083.06 × 214,624.44
  4. Step 4: Simplify right side
    354,897x = 114,198,028,785.99
  5. Step 5: Solve for x
    x = 114,198,028,785.99/354,897
  6. Step 6: Final answer
    x = 321,777.95

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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.