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Finding the Fourth Proportional to 297,423.82, 410,442 and 161,454.85

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Solution

The fourth proportional to 297,423.82, 410,442 and 161,454.85 is: 222,806.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,423.82 : 410,442 = 161,454.85 : x
  2. Step 2: Convert to fraction form
    297,423.82/410,442 = 161,454.85/x
  3. Step 3: Cross multiply
    297,423.82x = 410,442 × 161,454.85
  4. Step 4: Simplify right side
    297,423.82x = 66,267,851,543.70
  5. Step 5: Solve for x
    x = 66,267,851,543.70/297,423.82
  6. Step 6: Final answer
    x = 222,806.13

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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.