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Finding the Fourth Proportional to 297,327.80, 410,312.57 and 161,361.71

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Solution

The fourth proportional to 297,327.80, 410,312.57 and 161,361.71 is: 222,679.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,327.80 : 410,312.57 = 161,361.71 : x
  2. Step 2: Convert to fraction form
    297,327.80/410,312.57 = 161,361.71/x
  3. Step 3: Cross multiply
    297,327.80x = 410,312.57 × 161,361.71
  4. Step 4: Simplify right side
    297,327.80x = 66,208,737,818.32
  5. Step 5: Solve for x
    x = 66,208,737,818.32/297,327.80
  6. Step 6: Final answer
    x = 222,679.27

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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.