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Finding the Fourth Proportional to 465,112.08, 641,954.63 and 283,785.08

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Solution

The fourth proportional to 465,112.08, 641,954.63 and 283,785.08 is: 391,684.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,112.08 : 641,954.63 = 283,785.08 : x
  2. Step 2: Convert to fraction form
    465,112.08/641,954.63 = 283,785.08/x
  3. Step 3: Cross multiply
    465,112.08x = 641,954.63 × 283,785.08
  4. Step 4: Simplify right side
    465,112.08x = 182,177,143,530.61
  5. Step 5: Solve for x
    x = 182,177,143,530.61/465,112.08
  6. Step 6: Final answer
    x = 391,684.39

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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.