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Finding the Fourth Proportional to 381,755.70, 571,761.16 and 182,216.16

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Solution

The fourth proportional to 381,755.70, 571,761.16 and 182,216.16 is: 272,907.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,755.70 : 571,761.16 = 182,216.16 : x
  2. Step 2: Convert to fraction form
    381,755.70/571,761.16 = 182,216.16/x
  3. Step 3: Cross multiply
    381,755.70x = 571,761.16 × 182,216.16
  4. Step 4: Simplify right side
    381,755.70x = 104,184,123,012.35
  5. Step 5: Solve for x
    x = 104,184,123,012.35/381,755.70
  6. Step 6: Final answer
    x = 272,907.84

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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.