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Finding the Fourth Proportional to 299,512.64, 449,267.68 and 77,896

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Solution

The fourth proportional to 299,512.64, 449,267.68 and 77,896 is: 116,843.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,512.64 : 449,267.68 = 77,896 : x
  2. Step 2: Convert to fraction form
    299,512.64/449,267.68 = 77,896/x
  3. Step 3: Cross multiply
    299,512.64x = 449,267.68 × 77,896
  4. Step 4: Simplify right side
    299,512.64x = 34,996,155,201.28
  5. Step 5: Solve for x
    x = 34,996,155,201.28/299,512.64
  6. Step 6: Final answer
    x = 116,843.67

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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.