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Finding the Fourth Proportional to 297,296.64, 446,013 and 128,845.17

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Solution

The fourth proportional to 297,296.64, 446,013 and 128,845.17 is: 193,297.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,296.64 : 446,013 = 128,845.17 : x
  2. Step 2: Convert to fraction form
    297,296.64/446,013 = 128,845.17/x
  3. Step 3: Cross multiply
    297,296.64x = 446,013 × 128,845.17
  4. Step 4: Simplify right side
    297,296.64x = 57,466,620,807.21
  5. Step 5: Solve for x
    x = 57,466,620,807.21/297,296.64
  6. Step 6: Final answer
    x = 193,297.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.