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Finding the Fourth Proportional to 348,052.60, 522,078.90 and 305,198.20

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Solution

The fourth proportional to 348,052.60, 522,078.90 and 305,198.20 is: 457,797.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,052.60 : 522,078.90 = 305,198.20 : x
  2. Step 2: Convert to fraction form
    348,052.60/522,078.90 = 305,198.20/x
  3. Step 3: Cross multiply
    348,052.60x = 522,078.90 × 305,198.20
  4. Step 4: Simplify right side
    348,052.60x = 159,337,540,537.98
  5. Step 5: Solve for x
    x = 159,337,540,537.98/348,052.60
  6. Step 6: Final answer
    x = 457,797.30

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Why These Related Problems?

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