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Finding the Fourth Proportional to 297,671.93, 410,785.62 and 161,704.77

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Solution

The fourth proportional to 297,671.93, 410,785.62 and 161,704.77 is: 223,151.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,671.93 : 410,785.62 = 161,704.77 : x
  2. Step 2: Convert to fraction form
    297,671.93/410,785.62 = 161,704.77/x
  3. Step 3: Cross multiply
    297,671.93x = 410,785.62 × 161,704.77
  4. Step 4: Simplify right side
    297,671.93x = 66,425,994,201.41
  5. Step 5: Solve for x
    x = 66,425,994,201.41/297,671.93
  6. Step 6: Final answer
    x = 223,151.69

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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.