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Finding the Fourth Proportional to 297,395.46, 410,406.13 and 161,429.32

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Solution

The fourth proportional to 297,395.46, 410,406.13 and 161,429.32 is: 222,772.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,395.46 : 410,406.13 = 161,429.32 : x
  2. Step 2: Convert to fraction form
    297,395.46/410,406.13 = 161,429.32/x
  3. Step 3: Cross multiply
    297,395.46x = 410,406.13 × 161,429.32
  4. Step 4: Simplify right side
    297,395.46x = 66,251,582,489.73
  5. Step 5: Solve for x
    x = 66,251,582,489.73/297,395.46
  6. Step 6: Final answer
    x = 222,772.68

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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.