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Finding the Fourth Proportional to 493,804.20, 681,199.40 and 312,210.30

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Solution

The fourth proportional to 493,804.20, 681,199.40 and 312,210.30 is: 430,691.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,804.20 : 681,199.40 = 312,210.30 : x
  2. Step 2: Convert to fraction form
    493,804.20/681,199.40 = 312,210.30/x
  3. Step 3: Cross multiply
    493,804.20x = 681,199.40 × 312,210.30
  4. Step 4: Simplify right side
    493,804.20x = 212,677,469,033.82
  5. Step 5: Solve for x
    x = 212,677,469,033.82/493,804.20
  6. Step 6: Final answer
    x = 430,691.90

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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.