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Finding the Fourth Proportional to 297,376.53, 410,368.57 and 161,407.55

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Solution

The fourth proportional to 297,376.53, 410,368.57 and 161,407.55 is: 222,736.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,376.53 : 410,368.57 = 161,407.55 : x
  2. Step 2: Convert to fraction form
    297,376.53/410,368.57 = 161,407.55/x
  3. Step 3: Cross multiply
    297,376.53x = 410,368.57 × 161,407.55
  4. Step 4: Simplify right side
    297,376.53x = 66,236,584,412.90
  5. Step 5: Solve for x
    x = 66,236,584,412.90/297,376.53
  6. Step 6: Final answer
    x = 222,736.42

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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.