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Finding the Fourth Proportional to 283,773.78, 391,599.77 and 156,449.48

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Solution

The fourth proportional to 283,773.78, 391,599.77 and 156,449.48 is: 215,895.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,773.78 : 391,599.77 = 156,449.48 : x
  2. Step 2: Convert to fraction form
    283,773.78/391,599.77 = 156,449.48/x
  3. Step 3: Cross multiply
    283,773.78x = 391,599.77 × 156,449.48
  4. Step 4: Simplify right side
    283,773.78x = 61,265,577,644.37
  5. Step 5: Solve for x
    x = 61,265,577,644.37/283,773.78
  6. Step 6: Final answer
    x = 215,895.84

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Why These Related Problems?

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