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Finding the Fourth Proportional to 264,037.20, 396,444.60 and 204,939.60

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Solution

The fourth proportional to 264,037.20, 396,444.60 and 204,939.60 is: 307,711.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,037.20 : 396,444.60 = 204,939.60 : x
  2. Step 2: Convert to fraction form
    264,037.20/396,444.60 = 204,939.60/x
  3. Step 3: Cross multiply
    264,037.20x = 396,444.60 × 204,939.60
  4. Step 4: Simplify right side
    264,037.20x = 81,247,197,746.16
  5. Step 5: Solve for x
    x = 81,247,197,746.16/264,037.20
  6. Step 6: Final answer
    x = 307,711.18

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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.