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Finding the Fourth Proportional to 283,788.12, 391,695.84 and 170,589

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Solution

The fourth proportional to 283,788.12, 391,695.84 and 170,589 is: 235,453.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,788.12 : 391,695.84 = 170,589 : x
  2. Step 2: Convert to fraction form
    283,788.12/391,695.84 = 170,589/x
  3. Step 3: Cross multiply
    283,788.12x = 391,695.84 × 170,589
  4. Step 4: Simplify right side
    283,788.12x = 66,819,001,649.76
  5. Step 5: Solve for x
    x = 66,819,001,649.76/283,788.12
  6. Step 6: Final answer
    x = 235,453.84

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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.