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Finding the Fourth Proportional to 419,810.60, 629,715.90 and 230,853.80

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Solution

The fourth proportional to 419,810.60, 629,715.90 and 230,853.80 is: 346,280.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,810.60 : 629,715.90 = 230,853.80 : x
  2. Step 2: Convert to fraction form
    419,810.60/629,715.90 = 230,853.80/x
  3. Step 3: Cross multiply
    419,810.60x = 629,715.90 × 230,853.80
  4. Step 4: Simplify right side
    419,810.60x = 145,372,308,435.42
  5. Step 5: Solve for x
    x = 145,372,308,435.42/419,810.60
  6. Step 6: Final answer
    x = 346,280.70

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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.