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Finding the Fourth Proportional to 274,292.43, 411,309.43 and 178,073.98

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Solution

The fourth proportional to 274,292.43, 411,309.43 and 178,073.98 is: 267,027.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,292.43 : 411,309.43 = 178,073.98 : x
  2. Step 2: Convert to fraction form
    274,292.43/411,309.43 = 178,073.98/x
  3. Step 3: Cross multiply
    274,292.43x = 411,309.43 × 178,073.98
  4. Step 4: Simplify right side
    274,292.43x = 73,243,505,738.17
  5. Step 5: Solve for x
    x = 73,243,505,738.17/274,292.43
  6. Step 6: Final answer
    x = 267,027.08

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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.