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Finding the Fourth Proportional to 311,857.95, 430,265.74 and 190,873.11

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Solution

The fourth proportional to 311,857.95, 430,265.74 and 190,873.11 is: 263,344.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,857.95 : 430,265.74 = 190,873.11 : x
  2. Step 2: Convert to fraction form
    311,857.95/430,265.74 = 190,873.11/x
  3. Step 3: Cross multiply
    311,857.95x = 430,265.74 × 190,873.11
  4. Step 4: Simplify right side
    311,857.95x = 82,126,161,414.45
  5. Step 5: Solve for x
    x = 82,126,161,414.45/311,857.95
  6. Step 6: Final answer
    x = 263,344.77

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Why These Related Problems?

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