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Finding the Fourth Proportional to 361,941.60, 543,171.60 and 204,002.40

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Solution

The fourth proportional to 361,941.60, 543,171.60 and 204,002.40 is: 306,149.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,941.60 : 543,171.60 = 204,002.40 : x
  2. Step 2: Convert to fraction form
    361,941.60/543,171.60 = 204,002.40/x
  3. Step 3: Cross multiply
    361,941.60x = 543,171.60 × 204,002.40
  4. Step 4: Simplify right side
    361,941.60x = 110,808,310,011.84
  5. Step 5: Solve for x
    x = 110,808,310,011.84/361,941.60
  6. Step 6: Final answer
    x = 306,149.69

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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.