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Finding the Fourth Proportional to 311,957.30, 430,554.01 and 176,029.78

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Solution

The fourth proportional to 311,957.30, 430,554.01 and 176,029.78 is: 242,950.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,957.30 : 430,554.01 = 176,029.78 : x
  2. Step 2: Convert to fraction form
    311,957.30/430,554.01 = 176,029.78/x
  3. Step 3: Cross multiply
    311,957.30x = 430,554.01 × 176,029.78
  4. Step 4: Simplify right side
    311,957.30x = 75,790,327,658.42
  5. Step 5: Solve for x
    x = 75,790,327,658.42/311,957.30
  6. Step 6: Final answer
    x = 242,950.97

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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.