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Finding the Fourth Proportional to 320,692.94, 481,205.33 and 232,672.94

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Solution

The fourth proportional to 320,692.94, 481,205.33 and 232,672.94 is: 349,129.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,692.94 : 481,205.33 = 232,672.94 : x
  2. Step 2: Convert to fraction form
    320,692.94/481,205.33 = 232,672.94/x
  3. Step 3: Cross multiply
    320,692.94x = 481,205.33 × 232,672.94
  4. Step 4: Simplify right side
    320,692.94x = 111,963,457,711.41
  5. Step 5: Solve for x
    x = 111,963,457,711.41/320,692.94
  6. Step 6: Final answer
    x = 349,129.79

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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.