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Finding the Fourth Proportional to 1,609,933.14, 2,414,982.43 and 411,865.85

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Solution

The fourth proportional to 1,609,933.14, 2,414,982.43 and 411,865.85 is: 617,819.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609,933.14 : 2,414,982.43 = 411,865.85 : x
  2. Step 2: Convert to fraction form
    1,609,933.14/2,414,982.43 = 411,865.85/x
  3. Step 3: Cross multiply
    1,609,933.14x = 2,414,982.43 × 411,865.85
  4. Step 4: Simplify right side
    1,609,933.14x = 994,648,791,267.02
  5. Step 5: Solve for x
    x = 994,648,791,267.02/1,609,933.14
  6. Step 6: Final answer
    x = 617,819.94

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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.