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Finding the Fourth Proportional to 463,205.93, 638,716.57 and 301,761.59

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Solution

The fourth proportional to 463,205.93, 638,716.57 and 301,761.59 is: 416,100.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,205.93 : 638,716.57 = 301,761.59 : x
  2. Step 2: Convert to fraction form
    463,205.93/638,716.57 = 301,761.59/x
  3. Step 3: Cross multiply
    463,205.93x = 638,716.57 × 301,761.59
  4. Step 4: Simplify right side
    463,205.93x = 192,740,127,722.55
  5. Step 5: Solve for x
    x = 192,740,127,722.55/463,205.93
  6. Step 6: Final answer
    x = 416,100.30

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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.