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Finding the Fourth Proportional to 419,594.60, 629,392.50 and 320,318.46

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Solution

The fourth proportional to 419,594.60, 629,392.50 and 320,318.46 is: 480,478.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,594.60 : 629,392.50 = 320,318.46 : x
  2. Step 2: Convert to fraction form
    419,594.60/629,392.50 = 320,318.46/x
  3. Step 3: Cross multiply
    419,594.60x = 629,392.50 × 320,318.46
  4. Step 4: Simplify right side
    419,594.60x = 201,606,036,335.55
  5. Step 5: Solve for x
    x = 201,606,036,335.55/419,594.60
  6. Step 6: Final answer
    x = 480,478.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.