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Finding the Fourth Proportional to 419,296.30, 578,626.44 and 228,309.23

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Solution

The fourth proportional to 419,296.30, 578,626.44 and 228,309.23 is: 315,065.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,296.30 : 578,626.44 = 228,309.23 : x
  2. Step 2: Convert to fraction form
    419,296.30/578,626.44 = 228,309.23/x
  3. Step 3: Cross multiply
    419,296.30x = 578,626.44 × 228,309.23
  4. Step 4: Simplify right side
    419,296.30x = 132,105,757,564.45
  5. Step 5: Solve for x
    x = 132,105,757,564.45/419,296.30
  6. Step 6: Final answer
    x = 315,065.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.