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Finding the Fourth Proportional to 538,584.39, 743,212.67 and 296,853.66

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Solution

The fourth proportional to 538,584.39, 743,212.67 and 296,853.66 is: 409,639.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,584.39 : 743,212.67 = 296,853.66 : x
  2. Step 2: Convert to fraction form
    538,584.39/743,212.67 = 296,853.66/x
  3. Step 3: Cross multiply
    538,584.39x = 743,212.67 × 296,853.66
  4. Step 4: Simplify right side
    538,584.39x = 220,625,399,763.60
  5. Step 5: Solve for x
    x = 220,625,399,763.60/538,584.39
  6. Step 6: Final answer
    x = 409,639.42

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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.