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Finding the Fourth Proportional to 419,406.41, 578,787.46 and 228,419.66

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Solution

The fourth proportional to 419,406.41, 578,787.46 and 228,419.66 is: 315,222.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,406.41 : 578,787.46 = 228,419.66 : x
  2. Step 2: Convert to fraction form
    419,406.41/578,787.46 = 228,419.66/x
  3. Step 3: Cross multiply
    419,406.41x = 578,787.46 × 228,419.66
  4. Step 4: Simplify right side
    419,406.41x = 132,206,435,701.38
  5. Step 5: Solve for x
    x = 132,206,435,701.38/419,406.41
  6. Step 6: Final answer
    x = 315,222.73

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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.