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Finding the Fourth Proportional to 311,952.30, 467,928.45 and 170,234.70

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Solution

The fourth proportional to 311,952.30, 467,928.45 and 170,234.70 is: 255,352.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,952.30 : 467,928.45 = 170,234.70 : x
  2. Step 2: Convert to fraction form
    311,952.30/467,928.45 = 170,234.70/x
  3. Step 3: Cross multiply
    311,952.30x = 467,928.45 × 170,234.70
  4. Step 4: Simplify right side
    311,952.30x = 79,657,659,307.22
  5. Step 5: Solve for x
    x = 79,657,659,307.22/311,952.30
  6. Step 6: Final answer
    x = 255,352.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.