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Finding the Fourth Proportional to 341,628.80, 512,443.20 and 275,198.70

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Solution

The fourth proportional to 341,628.80, 512,443.20 and 275,198.70 is: 412,798.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,628.80 : 512,443.20 = 275,198.70 : x
  2. Step 2: Convert to fraction form
    341,628.80/512,443.20 = 275,198.70/x
  3. Step 3: Cross multiply
    341,628.80x = 512,443.20 × 275,198.70
  4. Step 4: Simplify right side
    341,628.80x = 141,023,702,463.84
  5. Step 5: Solve for x
    x = 141,023,702,463.84/341,628.80
  6. Step 6: Final answer
    x = 412,798.05

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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.