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Finding the Fourth Proportional to 311,934.73, 430,471.11 and 168,695.95

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Solution

The fourth proportional to 311,934.73, 430,471.11 and 168,695.95 is: 232,801.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,934.73 : 430,471.11 = 168,695.95 : x
  2. Step 2: Convert to fraction form
    311,934.73/430,471.11 = 168,695.95/x
  3. Step 3: Cross multiply
    311,934.73x = 430,471.11 × 168,695.95
  4. Step 4: Simplify right side
    311,934.73x = 72,618,732,849.00
  5. Step 5: Solve for x
    x = 72,618,732,849.00/311,934.73
  6. Step 6: Final answer
    x = 232,801.05

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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.