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Finding the Fourth Proportional to 541,196.76, 746,930.76 and 311,709.92

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Solution

The fourth proportional to 541,196.76, 746,930.76 and 311,709.92 is: 430,205.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,196.76 : 746,930.76 = 311,709.92 : x
  2. Step 2: Convert to fraction form
    541,196.76/746,930.76 = 311,709.92/x
  3. Step 3: Cross multiply
    541,196.76x = 746,930.76 × 311,709.92
  4. Step 4: Simplify right side
    541,196.76x = 232,825,727,445.14
  5. Step 5: Solve for x
    x = 232,825,727,445.14/541,196.76
  6. Step 6: Final answer
    x = 430,205.32

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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.