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Finding the Fourth Proportional to 405,830.60, 608,745.90 and 394,166.60

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Solution

The fourth proportional to 405,830.60, 608,745.90 and 394,166.60 is: 591,249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,830.60 : 608,745.90 = 394,166.60 : x
  2. Step 2: Convert to fraction form
    405,830.60/608,745.90 = 394,166.60/x
  3. Step 3: Cross multiply
    405,830.60x = 608,745.90 × 394,166.60
  4. Step 4: Simplify right side
    405,830.60x = 239,947,301,666.94
  5. Step 5: Solve for x
    x = 239,947,301,666.94/405,830.60
  6. Step 6: Final answer
    x = 591,249.90

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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.