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Finding the Fourth Proportional to 283,965, 391,841.44 and 156,640.60

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Solution

The fourth proportional to 283,965, 391,841.44 and 156,640.60 is: 216,147.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,965 : 391,841.44 = 156,640.60 : x
  2. Step 2: Convert to fraction form
    283,965/391,841.44 = 156,640.60/x
  3. Step 3: Cross multiply
    283,965x = 391,841.44 × 156,640.60
  4. Step 4: Simplify right side
    283,965x = 61,378,278,266.46
  5. Step 5: Solve for x
    x = 61,378,278,266.46/283,965
  6. Step 6: Final answer
    x = 216,147.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.