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Finding the Fourth Proportional to 419,821.92, 579,354.21 and 228,836.61

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Solution

The fourth proportional to 419,821.92, 579,354.21 and 228,836.61 is: 315,794.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,821.92 : 579,354.21 = 228,836.61 : x
  2. Step 2: Convert to fraction form
    419,821.92/579,354.21 = 228,836.61/x
  3. Step 3: Cross multiply
    419,821.92x = 579,354.21 × 228,836.61
  4. Step 4: Simplify right side
    419,821.92x = 132,577,453,405.63
  5. Step 5: Solve for x
    x = 132,577,453,405.63/419,821.92
  6. Step 6: Final answer
    x = 315,794.50

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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.