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Finding the Fourth Proportional to 278,720.67, 384,635.49 and 164,003.70

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Solution

The fourth proportional to 278,720.67, 384,635.49 and 164,003.70 is: 226,325.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,720.67 : 384,635.49 = 164,003.70 : x
  2. Step 2: Convert to fraction form
    278,720.67/384,635.49 = 164,003.70/x
  3. Step 3: Cross multiply
    278,720.67x = 384,635.49 × 164,003.70
  4. Step 4: Simplify right side
    278,720.67x = 63,081,643,511.31
  5. Step 5: Solve for x
    x = 63,081,643,511.31/278,720.67
  6. Step 6: Final answer
    x = 226,325.67

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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.