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Finding the Fourth Proportional to 329,257.63, 493,955.30 and 187,168.24

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Solution

The fourth proportional to 329,257.63, 493,955.30 and 187,168.24 is: 280,791.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,257.63 : 493,955.30 = 187,168.24 : x
  2. Step 2: Convert to fraction form
    329,257.63/493,955.30 = 187,168.24/x
  3. Step 3: Cross multiply
    329,257.63x = 493,955.30 × 187,168.24
  4. Step 4: Simplify right side
    329,257.63x = 92,452,744,139.67
  5. Step 5: Solve for x
    x = 92,452,744,139.67/329,257.63
  6. Step 6: Final answer
    x = 280,791.50

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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.