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Finding the Fourth Proportional to 273,427.26, 410,403.60 and 133,284.30

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Solution

The fourth proportional to 273,427.26, 410,403.60 and 133,284.30 is: 200,054.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,427.26 : 410,403.60 = 133,284.30 : x
  2. Step 2: Convert to fraction form
    273,427.26/410,403.60 = 133,284.30/x
  3. Step 3: Cross multiply
    273,427.26x = 410,403.60 × 133,284.30
  4. Step 4: Simplify right side
    273,427.26x = 54,700,356,543.48
  5. Step 5: Solve for x
    x = 54,700,356,543.48/273,427.26
  6. Step 6: Final answer
    x = 200,054.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.