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Finding the Fourth Proportional to 419,441.28, 578,826 and 228,454.08

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Solution

The fourth proportional to 419,441.28, 578,826 and 228,454.08 is: 315,265.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,441.28 : 578,826 = 228,454.08 : x
  2. Step 2: Convert to fraction form
    419,441.28/578,826 = 228,454.08/x
  3. Step 3: Cross multiply
    419,441.28x = 578,826 × 228,454.08
  4. Step 4: Simplify right side
    419,441.28x = 132,235,161,310.08
  5. Step 5: Solve for x
    x = 132,235,161,310.08/419,441.28
  6. Step 6: Final answer
    x = 315,265.01

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Why These Related Problems?

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