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Finding the Fourth Proportional to 492,093.40, 737,679.30 and 385,418.20

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Solution

The fourth proportional to 492,093.40, 737,679.30 and 385,418.20 is: 577,766.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,093.40 : 737,679.30 = 385,418.20 : x
  2. Step 2: Convert to fraction form
    492,093.40/737,679.30 = 385,418.20/x
  3. Step 3: Cross multiply
    492,093.40x = 737,679.30 × 385,418.20
  4. Step 4: Simplify right side
    492,093.40x = 284,315,027,983.26
  5. Step 5: Solve for x
    x = 284,315,027,983.26/492,093.40
  6. Step 6: Final answer
    x = 577,766.39

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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.