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Finding the Fourth Proportional to 363,964.80, 546,530.40 and 275,318.40

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Solution

The fourth proportional to 363,964.80, 546,530.40 and 275,318.40 is: 413,418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,964.80 : 546,530.40 = 275,318.40 : x
  2. Step 2: Convert to fraction form
    363,964.80/546,530.40 = 275,318.40/x
  3. Step 3: Cross multiply
    363,964.80x = 546,530.40 × 275,318.40
  4. Step 4: Simplify right side
    363,964.80x = 150,469,875,279.36
  5. Step 5: Solve for x
    x = 150,469,875,279.36/363,964.80
  6. Step 6: Final answer
    x = 413,418.76

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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.