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Finding the Fourth Proportional to 297,395.67, 410,406.39 and 161,429.54

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Solution

The fourth proportional to 297,395.67, 410,406.39 and 161,429.54 is: 222,772.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,395.67 : 410,406.39 = 161,429.54 : x
  2. Step 2: Convert to fraction form
    297,395.67/410,406.39 = 161,429.54/x
  3. Step 3: Cross multiply
    297,395.67x = 410,406.39 × 161,429.54
  4. Step 4: Simplify right side
    297,395.67x = 66,251,714,750.76
  5. Step 5: Solve for x
    x = 66,251,714,750.76/297,395.67
  6. Step 6: Final answer
    x = 222,772.96

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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.