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Finding the Fourth Proportional to 405,744.60, 608,616.90 and 394,080.60

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Solution

The fourth proportional to 405,744.60, 608,616.90 and 394,080.60 is: 591,120.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,744.60 : 608,616.90 = 394,080.60 : x
  2. Step 2: Convert to fraction form
    405,744.60/608,616.90 = 394,080.60/x
  3. Step 3: Cross multiply
    405,744.60x = 608,616.90 × 394,080.60
  4. Step 4: Simplify right side
    405,744.60x = 239,844,113,122.14
  5. Step 5: Solve for x
    x = 239,844,113,122.14/405,744.60
  6. Step 6: Final answer
    x = 591,120.90

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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.