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Finding the Fourth Proportional to 274,633.20, 411,719.40 and 143,305.20

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Solution

The fourth proportional to 274,633.20, 411,719.40 and 143,305.20 is: 214,837.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,633.20 : 411,719.40 = 143,305.20 : x
  2. Step 2: Convert to fraction form
    274,633.20/411,719.40 = 143,305.20/x
  3. Step 3: Cross multiply
    274,633.20x = 411,719.40 × 143,305.20
  4. Step 4: Simplify right side
    274,633.20x = 59,001,530,960.88
  5. Step 5: Solve for x
    x = 59,001,530,960.88/274,633.20
  6. Step 6: Final answer
    x = 214,837.58

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Why These Related Problems?

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