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Finding the Fourth Proportional to 579,409.80, 869,114.70 and 419,742.60

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Solution

The fourth proportional to 579,409.80, 869,114.70 and 419,742.60 is: 629,613.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,409.80 : 869,114.70 = 419,742.60 : x
  2. Step 2: Convert to fraction form
    579,409.80/869,114.70 = 419,742.60/x
  3. Step 3: Cross multiply
    579,409.80x = 869,114.70 × 419,742.60
  4. Step 4: Simplify right side
    579,409.80x = 364,804,463,876.22
  5. Step 5: Solve for x
    x = 364,804,463,876.22/579,409.80
  6. Step 6: Final answer
    x = 629,613.90

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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.