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Finding the Fourth Proportional to 311,960.09, 430,524.61 and 175,944.41

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Solution

The fourth proportional to 311,960.09, 430,524.61 and 175,944.41 is: 242,814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,960.09 : 430,524.61 = 175,944.41 : x
  2. Step 2: Convert to fraction form
    311,960.09/430,524.61 = 175,944.41/x
  3. Step 3: Cross multiply
    311,960.09x = 430,524.61 × 175,944.41
  4. Step 4: Simplify right side
    311,960.09x = 75,748,397,518.91
  5. Step 5: Solve for x
    x = 75,748,397,518.91/311,960.09
  6. Step 6: Final answer
    x = 242,814.39

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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.