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Finding the Fourth Proportional to 428,692.12, 642,906.80 and 296,422.36

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Solution

The fourth proportional to 428,692.12, 642,906.80 and 296,422.36 is: 444,542.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,692.12 : 642,906.80 = 296,422.36 : x
  2. Step 2: Convert to fraction form
    428,692.12/642,906.80 = 296,422.36/x
  3. Step 3: Cross multiply
    428,692.12x = 642,906.80 × 296,422.36
  4. Step 4: Simplify right side
    428,692.12x = 190,571,950,916.05
  5. Step 5: Solve for x
    x = 190,571,950,916.05/428,692.12
  6. Step 6: Final answer
    x = 444,542.70

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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.