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Finding the Fourth Proportional to 482,093.64, 722,869.38 and 197,705.88

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Solution

The fourth proportional to 482,093.64, 722,869.38 and 197,705.88 is: 296,447.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,093.64 : 722,869.38 = 197,705.88 : x
  2. Step 2: Convert to fraction form
    482,093.64/722,869.38 = 197,705.88/x
  3. Step 3: Cross multiply
    482,093.64x = 722,869.38 × 197,705.88
  4. Step 4: Simplify right side
    482,093.64x = 142,915,526,897.95
  5. Step 5: Solve for x
    x = 142,915,526,897.95/482,093.64
  6. Step 6: Final answer
    x = 296,447.65

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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.