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Finding the Fourth Proportional to 462,093.10, 693,139.65 and 394,441.90

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Solution

The fourth proportional to 462,093.10, 693,139.65 and 394,441.90 is: 591,662.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,093.10 : 693,139.65 = 394,441.90 : x
  2. Step 2: Convert to fraction form
    462,093.10/693,139.65 = 394,441.90/x
  3. Step 3: Cross multiply
    462,093.10x = 693,139.65 × 394,441.90
  4. Step 4: Simplify right side
    462,093.10x = 273,403,320,511.34
  5. Step 5: Solve for x
    x = 273,403,320,511.34/462,093.10
  6. Step 6: Final answer
    x = 591,662.85

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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.