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Finding the Fourth Proportional to 405,265.20, 607,241.70 and 381,645.60

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Solution

The fourth proportional to 405,265.20, 607,241.70 and 381,645.60 is: 571,850.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,265.20 : 607,241.70 = 381,645.60 : x
  2. Step 2: Convert to fraction form
    405,265.20/607,241.70 = 381,645.60/x
  3. Step 3: Cross multiply
    405,265.20x = 607,241.70 × 381,645.60
  4. Step 4: Simplify right side
    405,265.20x = 231,751,122,941.52
  5. Step 5: Solve for x
    x = 231,751,122,941.52/405,265.20
  6. Step 6: Final answer
    x = 571,850.54

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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.