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Finding the Fourth Proportional to 296,441.32, 409,086.60 and 160,472.50

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Solution

The fourth proportional to 296,441.32, 409,086.60 and 160,472.50 is: 221,450.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,441.32 : 409,086.60 = 160,472.50 : x
  2. Step 2: Convert to fraction form
    296,441.32/409,086.60 = 160,472.50/x
  3. Step 3: Cross multiply
    296,441.32x = 409,086.60 × 160,472.50
  4. Step 4: Simplify right side
    296,441.32x = 65,647,149,418.50
  5. Step 5: Solve for x
    x = 65,647,149,418.50/296,441.32
  6. Step 6: Final answer
    x = 221,450.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.