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Finding the Fourth Proportional to 283,634.37, 391,415.63 and 156,309.66

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Solution

The fourth proportional to 283,634.37, 391,415.63 and 156,309.66 is: 215,707.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,634.37 : 391,415.63 = 156,309.66 : x
  2. Step 2: Convert to fraction form
    283,634.37/391,415.63 = 156,309.66/x
  3. Step 3: Cross multiply
    283,634.37x = 391,415.63 × 156,309.66
  4. Step 4: Simplify right side
    283,634.37x = 61,182,043,262.44
  5. Step 5: Solve for x
    x = 61,182,043,262.44/283,634.37
  6. Step 6: Final answer
    x = 215,707.44

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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.