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Finding the Fourth Proportional to 311,738.43, 430,201.01 and 168,498.14

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Solution

The fourth proportional to 311,738.43, 430,201.01 and 168,498.14 is: 232,528.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,738.43 : 430,201.01 = 168,498.14 : x
  2. Step 2: Convert to fraction form
    311,738.43/430,201.01 = 168,498.14/x
  3. Step 3: Cross multiply
    311,738.43x = 430,201.01 × 168,498.14
  4. Step 4: Simplify right side
    311,738.43x = 72,488,068,281.36
  5. Step 5: Solve for x
    x = 72,488,068,281.36/311,738.43
  6. Step 6: Final answer
    x = 232,528.49

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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.