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Finding the Fourth Proportional to 365,452.20, 547,595.10 and 305,965.80

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Solution

The fourth proportional to 365,452.20, 547,595.10 and 305,965.80 is: 458,460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,452.20 : 547,595.10 = 305,965.80 : x
  2. Step 2: Convert to fraction form
    365,452.20/547,595.10 = 305,965.80/x
  3. Step 3: Cross multiply
    365,452.20x = 547,595.10 × 305,965.80
  4. Step 4: Simplify right side
    365,452.20x = 167,545,372,847.58
  5. Step 5: Solve for x
    x = 167,545,372,847.58/365,452.20
  6. Step 6: Final answer
    x = 458,460.43

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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.