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Finding the Fourth Proportional to 304,213.68, 456,734.52 and 171,187.92

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Solution

The fourth proportional to 304,213.68, 456,734.52 and 171,187.92 is: 257,014.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,213.68 : 456,734.52 = 171,187.92 : x
  2. Step 2: Convert to fraction form
    304,213.68/456,734.52 = 171,187.92/x
  3. Step 3: Cross multiply
    304,213.68x = 456,734.52 × 171,187.92
  4. Step 4: Simplify right side
    304,213.68x = 78,187,432,471.00
  5. Step 5: Solve for x
    x = 78,187,432,471.00/304,213.68
  6. Step 6: Final answer
    x = 257,014.85

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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.