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Finding the Fourth Proportional to 297,321.53, 410,306.72 and 161,356.68

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Solution

The fourth proportional to 297,321.53, 410,306.72 and 161,356.68 is: 222,673.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,321.53 : 410,306.72 = 161,356.68 : x
  2. Step 2: Convert to fraction form
    297,321.53/410,306.72 = 161,356.68/x
  3. Step 3: Cross multiply
    297,321.53x = 410,306.72 × 161,356.68
  4. Step 4: Simplify right side
    297,321.53x = 66,205,729,314.11
  5. Step 5: Solve for x
    x = 66,205,729,314.11/297,321.53
  6. Step 6: Final answer
    x = 222,673.85

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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.