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Finding the Fourth Proportional to 298,824.80, 412,366.17 and 162,855.82

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Solution

The fourth proportional to 298,824.80, 412,366.17 and 162,855.82 is: 224,734.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,824.80 : 412,366.17 = 162,855.82 : x
  2. Step 2: Convert to fraction form
    298,824.80/412,366.17 = 162,855.82/x
  3. Step 3: Cross multiply
    298,824.80x = 412,366.17 × 162,855.82
  4. Step 4: Simplify right side
    298,824.80x = 67,156,230,755.61
  5. Step 5: Solve for x
    x = 67,156,230,755.61/298,824.80
  6. Step 6: Final answer
    x = 224,734.46

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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.