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Finding the Fourth Proportional to 493,806.20, 681,202.16 and 312,212.30

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Solution

The fourth proportional to 493,806.20, 681,202.16 and 312,212.30 is: 430,694.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,806.20 : 681,202.16 = 312,212.30 : x
  2. Step 2: Convert to fraction form
    493,806.20/681,202.16 = 312,212.30/x
  3. Step 3: Cross multiply
    493,806.20x = 681,202.16 × 312,212.30
  4. Step 4: Simplify right side
    493,806.20x = 212,679,693,138.57
  5. Step 5: Solve for x
    x = 212,679,693,138.57/493,806.20
  6. Step 6: Final answer
    x = 430,694.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.