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Finding the Fourth Proportional to 329,191.80, 493,951.73 and 187,146.15

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Solution

The fourth proportional to 329,191.80, 493,951.73 and 187,146.15 is: 280,812.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,191.80 : 493,951.73 = 187,146.15 : x
  2. Step 2: Convert to fraction form
    329,191.80/493,951.73 = 187,146.15/x
  3. Step 3: Cross multiply
    329,191.80x = 493,951.73 × 187,146.15
  4. Step 4: Simplify right side
    329,191.80x = 92,441,163,619.61
  5. Step 5: Solve for x
    x = 92,441,163,619.61/329,191.80
  6. Step 6: Final answer
    x = 280,812.47

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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.