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Finding the Fourth Proportional to 362,709.70, 543,408.45 and 310,221.70

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Solution

The fourth proportional to 362,709.70, 543,408.45 and 310,221.70 is: 464,771.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,709.70 : 543,408.45 = 310,221.70 : x
  2. Step 2: Convert to fraction form
    362,709.70/543,408.45 = 310,221.70/x
  3. Step 3: Cross multiply
    362,709.70x = 543,408.45 × 310,221.70
  4. Step 4: Simplify right side
    362,709.70x = 168,577,093,153.37
  5. Step 5: Solve for x
    x = 168,577,093,153.37/362,709.70
  6. Step 6: Final answer
    x = 464,771.39

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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.