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Finding the Fourth Proportional to 419,727.40, 629,591.10 and 403,397.80

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Solution

The fourth proportional to 419,727.40, 629,591.10 and 403,397.80 is: 605,096.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,727.40 : 629,591.10 = 403,397.80 : x
  2. Step 2: Convert to fraction form
    419,727.40/629,591.10 = 403,397.80/x
  3. Step 3: Cross multiply
    419,727.40x = 629,591.10 × 403,397.80
  4. Step 4: Simplify right side
    419,727.40x = 253,975,664,639.58
  5. Step 5: Solve for x
    x = 253,975,664,639.58/419,727.40
  6. Step 6: Final answer
    x = 605,096.70

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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.