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Finding the Fourth Proportional to 283,383.93, 391,097.46 and 211,639.41

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Solution

The fourth proportional to 283,383.93, 391,097.46 and 211,639.41 is: 292,083.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,383.93 : 391,097.46 = 211,639.41 : x
  2. Step 2: Convert to fraction form
    283,383.93/391,097.46 = 211,639.41/x
  3. Step 3: Cross multiply
    283,383.93x = 391,097.46 × 211,639.41
  4. Step 4: Simplify right side
    283,383.93x = 82,771,635,686.90
  5. Step 5: Solve for x
    x = 82,771,635,686.90/283,383.93
  6. Step 6: Final answer
    x = 292,083.03

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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.