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Finding the Fourth Proportional to 492,692.60, 739,063.20 and 256,496.60

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Solution

The fourth proportional to 492,692.60, 739,063.20 and 256,496.60 is: 384,757.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,692.60 : 739,063.20 = 256,496.60 : x
  2. Step 2: Convert to fraction form
    492,692.60/739,063.20 = 256,496.60/x
  3. Step 3: Cross multiply
    492,692.60x = 739,063.20 × 256,496.60
  4. Step 4: Simplify right side
    492,692.60x = 189,567,197,985.12
  5. Step 5: Solve for x
    x = 189,567,197,985.12/492,692.60
  6. Step 6: Final answer
    x = 384,757.55

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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.