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Finding the Fourth Proportional to 276,316.92, 413,933 and 143,284.14

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Solution

The fourth proportional to 276,316.92, 413,933 and 143,284.14 is: 214,644.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,316.92 : 413,933 = 143,284.14 : x
  2. Step 2: Convert to fraction form
    276,316.92/413,933 = 143,284.14/x
  3. Step 3: Cross multiply
    276,316.92x = 413,933 × 143,284.14
  4. Step 4: Simplify right side
    276,316.92x = 59,310,033,922.62
  5. Step 5: Solve for x
    x = 59,310,033,922.62/276,316.92
  6. Step 6: Final answer
    x = 214,644.96

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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.