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Finding the Fourth Proportional to 363,961.80, 546,525.90 and 275,315.40

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Solution

The fourth proportional to 363,961.80, 546,525.90 and 275,315.40 is: 413,414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,961.80 : 546,525.90 = 275,315.40 : x
  2. Step 2: Convert to fraction form
    363,961.80/546,525.90 = 275,315.40/x
  3. Step 3: Cross multiply
    363,961.80x = 546,525.90 × 275,315.40
  4. Step 4: Simplify right side
    363,961.80x = 150,466,996,768.86
  5. Step 5: Solve for x
    x = 150,466,996,768.86/363,961.80
  6. Step 6: Final answer
    x = 413,414.26

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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.