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Finding the Fourth Proportional to 297,304.75, 410,280.82 and 161,338.70

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Solution

The fourth proportional to 297,304.75, 410,280.82 and 161,338.70 is: 222,647.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,304.75 : 410,280.82 = 161,338.70 : x
  2. Step 2: Convert to fraction form
    297,304.75/410,280.82 = 161,338.70/x
  3. Step 3: Cross multiply
    297,304.75x = 410,280.82 × 161,338.70
  4. Step 4: Simplify right side
    297,304.75x = 66,194,173,478.98
  5. Step 5: Solve for x
    x = 66,194,173,478.98/297,304.75
  6. Step 6: Final answer
    x = 222,647.55

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1.5x scale

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.